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Author : P. J. Fleury
Publisher :
ISBN 13 : 9783662162798
Total Pages : 152 pages
Book Rating : 4.92/5 ( download)
Download or read book Advances in Non-Commutative Ring Theory written by P. J. Fleury and published by . This book was released on 2014-01-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matej Brešar
Publisher : Springer
ISBN 13 : 3319086936
Total Pages : 227 pages
Book Rating : 4.34/5 ( download)
Download or read book Introduction to Noncommutative Algebra written by Matej Brešar and published by Springer. This book was released on 2014-10-14 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. Only after this, modules, vector spaces over division rings, and tensor products are introduced and studied. This is followed by Jacobson's structure theory of rings. The final chapters treat free algebras, polynomial identities, and rings of quotients. Many of the results are not presented in their full generality. Rather, the emphasis is on clarity of exposition and simplicity of the proofs, with several being different from those in other texts on the subject. Prerequisites are kept to a minimum, and new concepts are introduced gradually and are carefully motivated. Introduction to Noncommutative Algebra is therefore accessible to a wide mathematical audience. It is, however, primarily intended for beginning graduate and advanced undergraduate students encountering noncommutative algebra for the first time.
Author : P. J. Fleury
Publisher : Springer
ISBN 13 : 3540393714
Total Pages : 152 pages
Book Rating : 4.19/5 ( download)
Download or read book Advances in Non-Commutative Ring Theory written by P. J. Fleury and published by Springer. This book was released on 2006-11-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Patrick J. Fleury
Publisher : Springer Verlag
ISBN 13 : 9780387115979
Total Pages : 142 pages
Book Rating : 4.78/5 ( download)
Download or read book Advances in Non-commutative Ring Theory written by Patrick J. Fleury and published by Springer Verlag. This book was released on 1982-01-01 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hideyuki Matsumura
Publisher : Cambridge University Press
ISBN 13 : 9780521367646
Total Pages : 338 pages
Book Rating : 4.46/5 ( download)
Download or read book Commutative Ring Theory written by Hideyuki Matsumura and published by Cambridge University Press. This book was released on 1989-05-25 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.
Author : T.Y. Lam
Publisher : Springer Science & Business Media
ISBN 13 : 1468404067
Total Pages : 410 pages
Book Rating : 4.67/5 ( download)
Download or read book A First Course in Noncommutative Rings written by T.Y. Lam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. This book is an outgrowth of my lectures in these two courses, and is intended for use by instructors and graduate students in a similar one-semester course in basic ring theory. Ring theory is a subject of central importance in algebra. Historically, some of the major discoveries in ring theory have helped shape the course of development of modern abstract algebra. Today, ring theory is a fer tile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential op erators, invariant theory), arithmetic (orders, Brauer groups), universal algebra (varieties of rings), and homological algebra (cohomology of rings, projective modules, Grothendieck and higher K-groups). In view of these basic connections between ring theory and other branches of mathemat ics, it is perhaps no exaggeration to say that a course in ring theory is an indispensable part of the education for any fledgling algebraist. The purpose of my lectures was to give a general introduction to the theory of rings, building on what the students have learned from a stan dard first-year graduate course in abstract algebra.
Author : I. N. Herstein
Publisher : American Mathematical Soc.
ISBN 13 : 088385015X
Total Pages : 202 pages
Book Rating : 4.52/5 ( download)
Download or read book Noncommutative Rings written by I. N. Herstein and published by American Mathematical Soc.. This book was released on 1994-12-31 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative Rings provides a cross-section of ideas, techniques, and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie's theorem, and the Golod–Shafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph.
Author : John C. McConnell
Publisher : American Mathematical Soc.
ISBN 13 : 0821821695
Total Pages : 658 pages
Book Rating : 4.95/5 ( download)
Download or read book Noncommutative Noetherian Rings written by John C. McConnell and published by American Mathematical Soc.. This book was released on 2001 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reprinted edition of a work that was considered the definitive account in the subject area upon its initial publication by J. Wiley & Sons in 1987. It presents, within a wider context, a comprehensive account of noncommutative Noetherian rings. The author covers the major developments from the 1950s, stemming from Goldie's theorem and onward, including applications to group rings, enveloping algebras of Lie algebras, PI rings, differential operators, and localization theory. The book is not restricted to Noetherian rings, but discusses wider classes of rings where the methods apply more generally. In the current edition, some errors were corrected, a number of arguments have been expanded, and the references were brought up to date. This reprinted edition will continue to be a valuable and stimulating work for readers interested in ring theory and its applications to other areas of mathematics.
Author : K. A. Brown
Publisher : American Mathematical Society
ISBN 13 : 1470472392
Total Pages : 288 pages
Book Rating : 4.99/5 ( download)
Download or read book Recent Advances in Noncommutative Algebra and Geometry written by K. A. Brown and published by American Mathematical Society. This book was released on 2024-05-30 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, held from June 20–24, 2022, at the University of Washington, Seattle, in honor of S. Paul Smith's 65th birthday. The articles reflect the wide interests of Smith and provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Hopf algebras and quantum groups, the elliptic algebras of Feigin and Odesskii, Calabi-Yau algebras, Artin-Schelter regular algebras, deformation theory, and Lie theory. In addition to original research contributions the volume includes an introductory essay reviewing Smith's research contributions in these fields, and several survey articles.
Author : Donald Watts Davies
Publisher : Springer
ISBN 13 :
Total Pages : 580 pages
Book Rating : 4.15/5 ( download)
Download or read book Advances in Cryptology--EUROCRYPT '91 written by Donald Watts Davies and published by Springer. This book was released on 1991 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains revised versions of papers presented at an open workshop on modern cryptology held in Brighton, UK, April 1991. The workshop was the latest in a series of workshops on cryptology which began in Santa Barbara in 1981 and was followed by a European counterpart in 1982. Following the tradition of the series, papers were invited in the form of extended abstracts and were reviewed by the programme committee, which selected those to be presented. After the meeting, the full papers were produced which form the main part of the volume. The papers are organized into sections on cryptanalysis, zero knowledge and oblivious transfer, sequences, signatures, theory, S-box criteria, applications, and public key cryptography, and a section containing short "rump session" papers.
