finitely generated abelian groups and similarity of matrices over a field

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Finitely Generated Abelian Groups And Similarity Of Matrices Over A Field

Author : Christopher Norman
ISBN : 9781447127291
Genre : Computers
File Size : 55. 84 MB
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This book provides an introduction to the decomposition of finitely generated abelian groups and canonical forms of matrices, and explores the analogous theory of matrix similarity over a field. Includes numerous worked examples and exercises with solutions.

Algebras Rings And Modules

Author : Michiel Hazewinkel
ISBN : 9781402026911
Genre : Mathematics
File Size : 58. 62 MB
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Expository Lectures On Representation Theory

Author : Kiyoshi Igusa
ISBN : 9780821891407
Genre : Mathematics
File Size : 47. 11 MB
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This volume contains the proceedings of the Maurice Auslander Distinguished Lectures and International Conference, held April 25-30, 2012, in Falmouth, MA. The representation theory of finite dimensional algebras and related topics, especially cluster combinatorics, is a very active topic of research. This volume contains papers covering both the history and the latest developments in this topic. In particular, Otto Kerner gives a review of basic theorems and latest results about wild hereditary algebras, Yuri Berest develops the theory of derived representation schemes, and Markus Schmidmeier presents new applications of arc diagrams.

Algebraic K Theory And Its Applications

Author : Jonathan Rosenberg
ISBN : 0387942483
Genre : Mathematics
File Size : 69. 22 MB
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Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability. This book, based on a course at the University of Maryland in the fall of 1990, is intended to enable graduate students or mathematicians working in other areas not only to learn the basics of algebraic K-Theory, but also to get a feel for its many applications. The required prerequisites are only the standard one-year graduate algebra course and the standard introductory graduate course on algebraic and geometric topology. Many topics from algebraic topology, homological algebra, and algebraic number theory are developed as needed. The final chapter gives a concise introduction to cyclic homology and its interrelationship with K-Theory.

Fifteen Papers On Algebra

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ISBN : 0821896237
Genre :
File Size : 90. 41 MB
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Notes On Infinite Permutation Groups

Author : Meenaxi Bhattacharjee
ISBN : 9783540498131
Genre : Mathematics
File Size : 90. 82 MB
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The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions. There is basic background in both group theory and the necessary model theory, and the following topics are covered: transitivity and primitivity; symmetric groups and general linear groups; wreatch products; automorphism groups of various treelike objects; model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite primitive Jordan groups (surveyed); applications and open problems. With many examples and exercises, the book is intended primarily for a beginning graduate student in group theory.

Algebraic Shift Register Sequences

Author : Mark Goresky
ISBN : 9781107014992
File Size : 22. 30 MB
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Pseudo-random sequences are essential ingredients of every modern digital communication system including cellular telephones, GPS, secure internet transactions and satellite imagery. Each application requires pseudo-random sequences with specific statistical properties. This book describes the design, mathematical analysis and implementation of pseudo-random sequences, particularly those generated by shift registers and related architectures such as feedback-with-carry shift registers. The earlier chapters may be used as a textbook in an advanced undergraduate mathematics course or a graduate electrical engineering course; the more advanced chapters provide a reference work for researchers in the field. Background material from algebra, beginning with elementary group theory, is provided in an appendix.

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