An Introduction to Algebraic Structures

An Introduction to Algebraic Structures PDF

Author: Joseph Landin

Publisher: Courier Corporation

Published: 2012-08-29

Total Pages: 275

ISBN-13: 0486150410

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This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.

An Introduction to Essential Algebraic Structures

An Introduction to Essential Algebraic Structures PDF

Author: Martyn R. Dixon

Publisher: John Wiley & Sons

Published: 2014-11-24

Total Pages: 240

ISBN-13: 1118459822

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A reader-friendly introduction to modern algebra with important examples from various areas of mathematics Featuring a clear and concise approach, An Introduction to Essential Algebraic Structures presents an integrated approach to basic concepts of modern algebra and highlights topics that play a central role in various branches of mathematics. The authors discuss key topics of abstract and modern algebra including sets, number systems, groups, rings, and fields. The book begins with an exposition of the elements of set theory and moves on to cover the main ideas and branches of abstract algebra. In addition, the book includes: Numerous examples throughout to deepen readers’ knowledge of the presented material An exercise set after each chapter section in an effort to build a deeper understanding of the subject and improve knowledge retention Hints and answers to select exercises at the end of the book A supplementary website with an Instructors Solutions manual An Introduction to Essential Algebraic Structures is an excellent textbook for introductory courses in abstract algebra as well as an ideal reference for anyone who would like to be more familiar with the basic topics of abstract algebra.

Ordered Algebraic Structures

Ordered Algebraic Structures PDF

Author: Jorge Martínez

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 323

ISBN-13: 1475736274

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From the 28th of February through the 3rd of March, 2001, the Department of Math ematics of the University of Florida hosted a conference on the many aspects of the field of Ordered Algebraic Structures. Officially, the title was "Conference on Lattice Ordered Groups and I-Rings", but its subject matter evolved beyond the limitations one might associate with such a label. This volume is officially the proceedings of that conference, although, likewise, it is more accurate to view it as a complement to that event. The conference was the fourth in wh at has turned into aseries of similar conferences, on Ordered Algebraic Structures, held in consecutive years. The first, held at the University of Florida in Spring, 1998, was a modest and informal affair. The fifth is in the final planning stages at this writing, for March 7-9, 2002, at Vanderbilt University. And although these events remain modest and reasonably informal, their scope has broadened, as they have succeeded in attracting mathematicians from other, related fields, as weIl as from more distant lands.

Lattices and Ordered Algebraic Structures

Lattices and Ordered Algebraic Structures PDF

Author: T.S. Blyth

Publisher: Springer Science & Business Media

Published: 2005-04-18

Total Pages: 311

ISBN-13: 1852339055

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"The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS

Discrete Mathematics and Algebraic Structures

Discrete Mathematics and Algebraic Structures PDF

Author: Larry J. Gerstein

Publisher: W H Freeman & Company

Published: 1987-01-01

Total Pages: 413

ISBN-13: 9780716718048

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Provides a brief but substantial introduction to ideas, structures and techniques in discrete mathematics and abstract algebra. It addresses many of the common mathematical needs of students in mathematics and computer science at undergraduate level.

The Algebraic Structure of Group Rings

The Algebraic Structure of Group Rings PDF

Author: Donald S. Passman

Publisher: Courier Corporation

Published: 2011-01-01

Total Pages: 754

ISBN-13: 0486482065

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"'Highly recommended' by the Bulletin of the London Mathematical Society, this book offers a comprehensive, self-contained treatment of group rings. The subject involves the intersection of two essentially different disciplines, group theory and ring theory. The Bulletin of the American Mathematical Society hailed this treatment as 'a majestic account,' proclaiming it "encyclopedic and lucid." 1985 edition"--

The $K$-book

The $K$-book PDF

Author: Charles A. Weibel

Publisher: American Mathematical Soc.

Published: 2013-06-13

Total Pages: 634

ISBN-13: 0821891324

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Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr