Lattices and Ordered Algebraic Structures (Universitext)

Book Description

Lattices and Ordered Algebraic Structures provides a lucid and concise introduction to the basic results concerning the notion of an order. Although as a whole it is mainly intended for beginning postgraduates, the prerequisities are minimal and selected parts can profitably be used to broaden the horizon of the advanced undergraduate.

The treatment is modern, with a slant towards recent developments in the theory of residuated lattices and ordered regular semigroups. Topics covered include: residuated mappings; Galois connections; modular, distributive, and complemented lattices; Boolean algebras; pseudocomplemented lattices; Stone algebras; Heyting algebras; ordered groups; lattice-ordered groups; representable groups; Archimedean ordered structures; ordered semigroups; naturally ordered regular and inverse Dubreil-Jacotin semigroups.

Featuring material that has been hitherto available only in research articles, and an account of the range of applications of the theory, there are also many illustrative examples and numerous exercises throughout, making it ideal for use as a course text, or as a basic introduction to the field for researchers in mathematics, logic and computer science.

Ordered Algebraic Structures (Developments in Mathematics)

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Ordered Algebraic Structures (Developments in Mathematics)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 1402007523

Book Description

This publication surveys some of the disciplines within ordered algebraic structures and also contains chapters highlighting a broad spectrum of research interests. In all, this book represents a reasonably accurate cross-section of the state of the art in ordered algebraic structures.

Lattice-Ordered Groups: Advances and Techniques (Mathematics and Its Applications)

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Lattice-Ordered Groups: Advances and Techniques (Mathematics and Its Applications)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0792301161

Lattice-Ordered Groups: An Introduction (Reidel Texts in the Mathematical Sciences)

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Lattice-Ordered Groups: An Introduction (Reidel Texts in the Mathematical Sciences)
M.E Anderson , and T.H. Feil
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 9027726434

Spaces of Orderings and Abstract Real Spectra (Lecture Notes in Mathematics)

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Spaces of Orderings and Abstract Real Spectra (Lecture Notes in Mathematics)
Murray Marshall
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

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Book Description

This book is of interest to students as well as experts in the area of real algebraic geometry, quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory. The original motivation comes from orderings on fields and commutative rings. This is explained as is the important application to minimal generation of semi-algebraic sets. Many results in the new theory of abstract real spectra (also called spaces of signs) appear here for the first time. The reader needs elementary knowledge of commutative rings, ordered fields and real closed fields and valuations.

The Theory of Lattice-Ordered Groups (Mathematics and Its Applications)

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The Theory of Lattice-Ordered Groups (Mathematics and Its Applications)
V.M. Kopytov , and N.Ya. Medvedev
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Book Description

This volume makes both classical and new results of the theory of lattice-ordered groups available to a wide range of mathematicians in a comprehensive way, explaining the structure of the theory as well as indicating its applications.
The book contains the foundations of the theory of lattice-ordered groups, and the theory of ordered permutation groups. It describes totally-ordered and right-ordered groups, and highlights the theory of varieties and quasi-varieties of lattice-ordered groups. The distinguishing feature of this work is the group-theoretical and universal algebra attitude to the theory of lattice-ordered groups.
This volume will be of interest to graduate students and researchers with a basic knowledge of group theory. It serves as an excellent introduction to the theory of partially ordered groups, and as an overview of new ideas and results in this theory.

Theory of Lattice-ordered Groups (Pure and Applied Mathematics)

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Theory of Lattice-ordered Groups (Pure and Applied Mathematics)
Michael Darnel
Manufacturer: CRC
ProductGroup: Book
Binding: Hardcover

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Book Description

Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered groups is offered.;This work is intended for pure and applied mathematicians and algebraists interested in topics such as group, order, number and lattice theory, universal algebra, and representation theory; and upper-level undergraduate and graduate students in these disciplines.;College or university bookstores may order five or more copies at a special student price which is available from Marcel Dekker Inc, upon request.

Book Description

First published in 1869, Lorna Doone is the story of John Ridd, a farmer who finds love amid the religious and social turmoil of seventeenth-century England. He is just a boy when his father is slain by the Doones, a lawless clan inhabiting wild Exmoor on the border of Somerset and Devon. Seized by curiosity and a sense of adventure, he makes his way to the valley of the Doones, where he is discovered by the beautiful Lorna. In time their childish fantasies blossom into mature love—a bond that will inspire John to rescue his beloved from the ravages of a stormy winter, rekindling a conflict with his archrival, Carver Doone, that climaxes in heartrending violence. Beloved for its portrait of star-crossed lovers and its surpassing descriptions of the English countryside, Lorna Doone is R. D. Blackmore's enduring masterpiece.

Customer Reviews:

Simply Wonderful.......2007-04-23

What an awesome tale. Written in the 19th century, but telling a tale about the late 1600's during the times of Charles II and James II. Our hero, John Ridd is a simple, albeit wise and honorable farmer who as a young lad meets Lorna Doone of the dreaded, evil outlaw family of higher born Doones, and it's love at first sight.

There are lots of ups and downs and surprises, along with the author's gorgeous prose describing the english countryside and farmlife. You have to pay attention though, as none of the characters are wasted. What might seem as inconsequential events and characters earlier in the story are brought back in full circle to the tale, along with a great mystery about Lorna's past as the author slowly peels out the many layers of his story.

Highly highly recommended. If you enjoy Thomas Hardy, Charlotte Bronte or Dickens this will probably be right up your alley.

Simply Fantastic!.......2007-03-10

lorna doone is one of the best books i have ever read. it truly is a forgotten classic. it is full of little tidbits of wisdom and humor. it is also just a great story line. true, the author sometimes strays from the story, but his depictions of farm life are not trite. they show a love of land and nature that is a trait of the romantic period.
it's an astounding novel, and i would suggest it to anyone and everyone. It does take place during a tumulous time in england's history (roughly 1675-1686) so read up on that time, and you'll understand a lot more. happy reading!

A Classic Love Story.......2006-07-13

Lorna Doone is a forgotten classic, typically known and read by everyone of a certain age in the UK, but pretty much ignored in school here in the US.
It's not an easy read, as Blackmore's English is not the modern English we are used to, but it's not all that difficult and well worth the time and effort.
If you read and enjoyed Bronte's Wuthering Heights or Jane Eyre, you will enjoy this romance. At it's core is a wonderful love story of a boy John Ridd) who never forgets his first love, and ultimately fights for the chance to win her heart against his lower social standing, and a band of robbers that have kept her captive -- unbenownst to her, since she was a little girl.
The BBC have made this into a mini-series many times over, and of course Nabisco has named a cookie for dear Lorna. I am sure Disney will catch up at some point. Enjoy the book before that happens and John Ridd's horse talks and sings!

Lorna Doone: A Romance of Exmoor (Oxford World's Classics)

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Simply Wonderful
Romanitic Adventure At Its Finest
A thundering good tale!
Excellent romantic and historical novel
Surprisingly Good

Lorna Doone: A Romance of Exmoor (Oxford World's Classics)
R. D. Blackmore
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Paperback

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ASIN: 0192836277

Book Description

This is the only critical edition of this perennially popular story. Sally Shuttleworth's introduction finds, beneath the idyllic evocation of rural bliss and a tale of love and high adventure, a startling sub-text which rigidly defends Victorian values, and portrays a `manly' hero constantly having to prove his masculinity to himself.

Customer Reviews:

Simply Wonderful.......2007-04-23

Romanitic Adventure At Its Finest.......2006-03-13

R.D. Blackmore's best known novel is a superb romantic tale set in 17th century Britain. A Romeo and Juliet kind of story with a opposing families, not to mention the brutal Doone clan, with Lorna's demented, evil cousin Carver who seeks to claim her and the fortune she will come into when she is of age. John Ridd's modesty and bravery makes him an ideal mate for this young beauty, so against the brutality and savagery she witnesses among her fellow Doones. But, wait, there's much more to the story - dark secrets, intrigue, and swashbuckling adventure - what more can you want? A wonderful array of characters (including the very real Judge Jeffreys)adds richness to the plot. A great look at England during the reign of James II and the attempted seizing of the throne by his bastard brother, Monmouth. Religious desputes abound with the Catholic King and Lorna, against the Protestant Monmouth and John Ridd. I throughly enjoyed the novel and the A&E movie, and I'm very happy to see that people buy the film along with the book - both are worth adding to your library.

A thundering good tale!.......2005-01-30

This book was a one hit wonder for Blackmore, but it's a classic in its own right. It's a book that concentrates on one little spot in the British Isles, and we get a thorough picture of that spot. The setting is in Exmoor. The story is about a maiden who preserves her purity of mind and body in a quite impossible environment. Lorna had been kidnapped as a child, but in spite of the barbarous surroundings that she grew up in, she manages to preserve her identity and her honour. Blackmore creates great characters. His John Ridd is brilliant. He encompasses all that is right and good deep within the English gentleman's psyche. Blackmore has a way of writing about animals too, that is quite unique. His account of Betty Muxworthy feeding the pigs is wonderful. This book is certainly worth a read at any time.

Excellent romantic and historical novel.......2004-06-19

Lorna Doone is a blend of romance and historical fiction. It is both a romantic and action novel. The Doones are a large outlaw clan who were cheated out of their wealth and privilege (they are based on a real historical group of outlaws), who live in Badgworthy Valley and regularly rob and terrorize the local community. For various reasons they are left alone by the authorities and allowed to multiply mainly by kidnapping local women for their wives.

The story is told by John Ridd whose father is killed by one of the Doones when John is 12. One day John accidentally wanders into Doone Valley, where he meets 8 year Lorna. He is immediately smitten and what seems an impossible romance develops several years later. The brutal Carver Doone wants Lorna for his wife, so John must rescue her. The Doones, of course, want her back. John and Lorna also have to overcome differences in rank (she has it, he doesn't), money (she has a lot more than he does) and religion (she's Catholic, he's Protestant).

Blackmore's book vividly describes the Devon countryside in which the novel is set, and the lifestyle of a yeoman farmer. Some people may find all these details unnecessary, and a distraction from the central story but I really enjoyed learning about the lifestyle of late 17th century rural England.

The story is set against the historical backdrop of the death of King Charles II, the Monmouth Rebellion, the brutal suppression of that rebellion by Judge Jeffreys known as the Bloody Assizes, and the short-lived assent of the very Catholic King James to the throne (and fears of 'Papist' rule). I recommend doing some brief research on these events on the Internet before reading this book. An understanding of the historical context will make this an easier and more understandable read.

If you enjoy a good romance novel you will love this book. If you enjoy historical fiction you will also love this book. This book is moving, action packed and educational.

Surprisingly Good.......2001-03-10

I was surprised that Lorna Doone by Richard Blackmore was a good as it turned out to be. It had a very compelling story and good characters even if the novel seemed a bit wordy at times. Lorna Doone is also the single best example of a romantic novel. It may not be among the very best of this category (like The Scarlet Letter, Moby Dick, or any of Jane Austen's novels), but it does fit every criteria. It had a major emphasis on feeling as the whole of the book is a love story between John Ridd and Lorna Doone. The book also has a lot of high adventure in it and an emphasis of nature (Blackmore was just about the only English forerunner of Thomas Hardy in novels in this respect). The novel was even about the common man.

The plot of the novel follows John Ridd. He is a respectable farmer who one day happens into the valley of the Doone's, a family/community of outlaws who had killed his father. There, he ends up falling in love with one of the Doone's own, Lorna. Then, John has to find a way to save his love and overcome their differences of birth.

Book Description

One winter's day in 1673 young John Ridd is riding home from school, across the wild lonely hills of Exmoor. He has to pass Doone valley - a dangerous place, as the Doones are famous robbers and murderers. All Exmoor lives in fear of the Doones. At home there is sad news waiting for young John, and he learns that he has good reason to hate the Doones. But in the years to come he meets Lorna Doone, with her lovely smile and big dark eyes. And soon he is deeply, hopelessly, in love . . .

Lorna Doone A Romance of Exmoor, Volume I [EasyRead Edition]

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Lorna Doone A Romance of Exmoor, Volume I [EasyRead Edition]
R. D. Blackmore
Manufacturer: ReadHowYouWant.com
ProductGroup: Book
Binding: Paperback

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ASIN: 1425047378
Release Date: 2006-12-01

Book Description

This is an illustrious historical romance set in the backdrop of the Monmouth Rebellion in the 17th century during the reign of Charles II. John Ridd and his family are threatened by the Doones, the family of outlaws. The young boy explores a new world and meets a beautiful girl with whom he falls in love. The twists and turns of the plot and striking landscapes of Badgworthy valley are pleasant.

Lorna Doone, a Romance of Exmoor (Doone-Land Edition)

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Lorna Doone, a Romance of Exmoor (Doone-Land Edition)
R. D. Blackmore
Manufacturer: Harper & Brothers Publishers
ProductGroup: Book
Binding: Hardcover

Product Description

The Doone-Land Edition, illustrated with map in back. Historical Romance first published in 1869. Set in the wilds of Exmoore during the 17th century, the novel concerns the adventurous life of the yeoman John Ridd and his love for Lorna Doone, a beautiful maiden. Blackmore considered the novel a romance and studded it with the high adventure, dramatic set pieces, bloody villainy and obstacles to love that characterize the genre.

Reader's Digest Best Loved Books for Young Readers (The Pearl, Lorna Doone, Boy on Horseback, King Solomon's Mines) (Volume 13)

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Reader's Digest Best Loved Books for Young Readers (The Pearl, Lorna Doone, Boy on Horseback, King Solomon's Mines) (Volume 13)

Manufacturer: Reader's Digest
ProductGroup: Book
Binding: Hardcover
ASIN: B000ERTNUM

Blackmore's Lorna Doone (macmillan's pocket american and english classics)

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Blackmore's Lorna Doone (macmillan's pocket american and english classics)
richard d. blackmore
Manufacturer: macmillan
ProductGroup: Book
Binding: Hardcover

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The book of Hugh Flower
Lorna Doone Beers
Manufacturer: Harper, Row
ProductGroup: Book
Binding: Unknown Binding

The Doones in fact, fiction and picture;

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The Doones in fact, fiction and picture;
L. B Thornycroft
Manufacturer: The Cider Press
ProductGroup: Book
Binding: Unknown Binding

Exmoor and Lorna Doone (Footpath Touring)

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Exmoor and Lorna Doone (Footpath Touring)

Manufacturer: Jarrold Publishing
ProductGroup: Book
Binding: Paperback

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ASIN: 0711701954

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