Introduction To Algebraic K Theory Am 72 Volume 72

Author : John Milnor
Publisher : Princeton University Press
ISBN 13 : 140088179X
Total Pages : 200 pages
Book Rating : 4.96/5 ( download)

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Download or read book Introduction to Algebraic K-Theory. (AM-72), Volume 72 written by John Milnor and published by Princeton University Press. This book was released on 2016-03-02 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic.

Author : John W. Milnor
Publisher :
ISBN 13 : 9780608064802
Total Pages : 198 pages
Book Rating : 4.07/5 ( download)

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Download or read book Introduction to Algebraic K-Theory written by John W. Milnor and published by . This book was released on 1971-01-01 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John Willard Milnor
Publisher : Princeton University Press
ISBN 13 : 9780691081014
Total Pages : 204 pages
Book Rating : 4.18/5 ( download)

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Download or read book Introduction to Algebraic K-theory written by John Willard Milnor and published by Princeton University Press. This book was released on 1971 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic.

Author : Charles A. Weibel
Publisher : American Mathematical Soc.
ISBN 13 : 0821891324
Total Pages : 634 pages
Book Rating : 4.22/5 ( download)

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Download or read book The $K$-book written by Charles A. Weibel and published by American Mathematical Soc.. This book was released on 2013-06-13 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Hyman Bass
Publisher : American Mathematical Soc.
ISBN 13 : 0821816705
Total Pages : 78 pages
Book Rating : 4.07/5 ( download)

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Download or read book Introduction to Some Methods of Algebraic $K$-Theory written by Hyman Bass and published by American Mathematical Soc.. This book was released on 1974-12-31 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Richard G. Swan
Publisher : Springer
ISBN 13 : 3540359176
Total Pages : 269 pages
Book Rating : 4.73/5 ( download)

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Download or read book Algebraic K-Theory written by Richard G. Swan and published by Springer. This book was released on 2006-11-14 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very general nature."

Author : John R. Silvester
Publisher : Chapman & Hall
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.80/5 ( download)

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Download or read book Introduction to Algebraic K-theory written by John R. Silvester and published by Chapman & Hall. This book was released on 1981 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jonathan Rosenberg
Publisher : Springer Science & Business Media
ISBN 13 : 1461243149
Total Pages : 404 pages
Book Rating : 4.44/5 ( download)

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Download or read book Algebraic K-Theory and Its Applications written by Jonathan Rosenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get a feel for its many applications. Topics include algebraic topology, homological algebra, algebraic number theory, and an introduction to cyclic homology and its interrelationship with K-Theory.

Author : Bruce A. Magurn
Publisher : Cambridge University Press
ISBN 13 : 9780521800785
Total Pages : 702 pages
Book Rating : 4.81/5 ( download)

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Download or read book An Algebraic Introduction to K-Theory written by Bruce A. Magurn and published by Cambridge University Press. This book was released on 2002-05-20 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra.

Author : Hvedri Inassaridze
Publisher : Springer Science & Business Media
ISBN 13 : 9401585695
Total Pages : 444 pages
Book Rating : 4.99/5 ( download)

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Download or read book Algebraic K-Theory written by Hvedri Inassaridze and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory. Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting results. This book presents the elements of algebraic K-theory, based essentially on the fundamental works of Milnor, Swan, Bass, Quillen, Karoubi, Gersten, Loday and Waldhausen. It includes all principal algebraic K-theories, connections with topological K-theory and cyclic homology, applications to the theory of monoid and polynomial algebras and in the theory of normed algebras. This volume will be of interest to graduate students and research mathematicians who want to learn more about K-theory.