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Lectures on Rings and Modules epub download

by Joachim Lambek


This book is an introduction to the theory of associative rings and their modules .

This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students. The standard topics on the structure of rings are covered, with a particular emphasis on the concept of the complete ring of quotients. A survey of the fundamental concepts of algebras in the first chapter helps to make the treatment self-contained.

An introduction to associative rings and modules which requires of the reader only the mathematical maturity which one would attain in a first-year graduate algebra .. In addition to covering the basic topics. the chapters are written to be as independent as possible. students making their first acquaintance with the subject.

ciative rings and their modules

ciative rings and their modules. All rings are assumed to have unity elements, as the generality gained by dropping this condition would have to be paid fo. The book touches on various topics, without assuming to pronounce the last word on any of them; but some topics, in which the author feels personally involved, are treated at greater length than others. Compared to earlier books on the subject, particular prominence is given to the concept "ring of quotients" as it appears in the work of Johnson, Utumi, Goldie, and others. The introductory Chapter One attempts to cover enough.

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This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students

This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students.

Primitive rings . Radicals . Completely reducible modules . Completely reducible rings . Artinian and Noetherian rings . On lifting idempotents . Local and semiperfect rings. Injectivity and Related Concepts.

Publisher: American Mathematical Society/Chelsea. Primitive rings . Projective modules . Injective modules . The complete ring of quotients . Rings of endomorphisms of injective modules . Regular rings of quotients . Classical rings of quotients . The Faith-Utumi theorem. Introduction to Homological Algebra.

Lectures on rings and modules (3rd e. Blaisdell Publishing. Lambek, Joachim (1979), "A mathematician looks at Latin conjugation", Theoretical Linguistics, 6 (2): 221–234, doi:10. 221, ISSN 0301-4428, MR 0589163. J Lambek & Michael Barr (2013) In Praise of Quaternions from McGill University.

A fixpoint theorem for complete categories. This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students. The standard topics on the structure of rings are covered, with . More).

Joachim Lambek, Lectures on rings and modules, second e. Chelsea Publishing C. New York, 1976. Schiffler R. (2014) Algebras and Modules. In: Quiver Representations. CMS Books in Mathematics (Ouvrages de mathématiques de la SMC). MR 0419493 (54 Scholar. 49. Richard S Pierce, Associative algebras, Springer-Verlag, New York, 1982. 52. Claus Michael Ringel, Tame algebras and integral quadratic forms, Lecture Notes in Mathematics, vol. 1099, Springer-Verlag, Berlin, 1984. MR 774589 (87f:16027)Google Scholar.

This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students. The standard topics on the structure of rings are covered, with a particular emphasis on the concept of the complete ring of quotients. A survey of the fundamental concepts of algebras in the first chapter helps to make the treatment self-contained. The topics covered include selected results on Boolean and other commutative rings, the classical structure theory of associative rings, injective modules, and rings of quotients. The final chapter provides an introduction to homological algebra. Besides three appendices on further results, there is a six-page section of historical comments.

Lectures on Rings and Modules epub download

ISBN13: 978-0821849002

ISBN: 082184900X

Author: Joachim Lambek

Category: Math and Science

Subcategory: Mathematics

Language: English

Publisher: American Mathematical Society; Reprint edition (September 1, 2009)

Pages: 283 pages

ePUB size: 1196 kb

FB2 size: 1575 kb

Rating: 4.3

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