Automorphisms and Derivations of Associative Rings PDF Download
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Author: V. Kharchenko
Publisher: Springer Science & Business Media
ISBN: 9401136041
Category : Mathematics
Languages : en
Pages : 398
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Book Description
Author: V. Kharchenko
Publisher: Springer Science & Business Media
ISBN: 9401136041
Category : Mathematics
Languages : en
Pages : 398
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Book Description
Author: S. Montgomery
Publisher: Springer
ISBN: 3540383085
Category : Mathematics
Languages : en
Pages : 133
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Book Description
Author:
Publisher:
ISBN: 9780387102320
Category : Associative rings
Languages : en
Pages : 126
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Book Description
Author: M. Hazewinkel
Publisher: Elsevier
ISBN: 9780080532967
Category : Mathematics
Languages : en
Pages : 896
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Book Description
Handbook of Algebra
Author: Carl Clifton Faith
Publisher: American Mathematical Soc.
ISBN: 0821836722
Category : Associative algebras
Languages : en
Pages : 513
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Book Description
This book surveys more than 125 years of aspects of associative algebras, especially ring and module theory. It is the first to probe so extensively such a wealth of historical development. Moreover, the author brings the reader up to date, in particular through his report on the subject in the second half of the twentieth century. Included in the book are certain categorical properties from theorems of Frobenius and Stickelberger on the primary decomposition of finite Abeliangroups; Hilbert's basis theorem and his Nullstellensatz, including the modern formulations of the latter by Krull, Goldman, and others; Maschke's theorem on the representation theory of finite groups over a field; and the fundamental theorems of Wedderburn on the structure of finite dimensional algebrasand finite skew fields and their extensions by Braver, Kaplansky, Chevalley, Goldie, and others. A special feature of the book is the in-depth study of rings with chain condition on annihilator ideals pioneered by Noether, Artin, and Jacobson and refined and extended by many later mathematicians. Two of the author's prior works, Algebra: Rings, Modules and Categories, I and II (Springer-Verlag, 1973), are devoted to the development of modern associative algebra and ring and module theory. Thoseworks serve as a foundation for the present survey, which includes a bibliography of over 1,600 references and is exhaustively indexed. In addition to the mathematical survey, the author gives candid and descriptive impressions of the last half of the twentieth century in ``Part II: Snapshots ofSome Mathematical Friends and Places''. Beginning with his teachers and fellow graduate students at the University of Kentucky and at Purdue, Faith discusses his Fulbright-Nato Postdoctoral at Heidelberg and at the Institute for Advanced Study (IAS) at Princeton, his year as a visiting scholar at Berkeley, and the many acquaintances he met there and in subsequent travels in India, Europe, and most recently, Barcelona. Comments on the first edition: ``Researchers in algebra should find it bothenjoyable to read and very useful in their work. In all cases, [Faith] cites full references as to the origin and development of the theorem .... I know of no other work in print which does this as thoroughly and as broadly.'' --John O'Neill, University of Detroit at Mercy `` `Part II: Snapshots ofSome Mathematical Friends and Places' is wonderful! [It is] a joy to read! Mathematicians of my age and younger will relish reading `Snapshots'.'' --James A. Huckaba, University of Missouri-Columbia
Author: Dinh Van Huynh
Publisher: American Mathematical Soc.
ISBN: 082181950X
Category : Algebra
Languages : en
Pages : 586
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Book Description
Among all areas of mathematics, algebra is one of the best suited to find applications within the frame of our booming technological society. The thirty-eight articles in this volume encompass the proceedings of the International Conference on Algebra and Its Applications (Athens, OH, 1999), which explored the applications and interplay among the disciplines of ring theory, linear algebra, and coding theory. The presentations collected here reflect the dialogue between mathematicians involved in theoretical aspects of algebra and mathematicians involved in solving problems where state-of-the-art research tools may be used and applied. This Contemporary Mathematics series volume communicates the potential for collaboration among those interested in exploring the wealth of applications for abstract algebra in fields such as information and coding. The expository papers would serve well as supplemental reading in graduate seminars.
Author: Mohammad Ashraf
Publisher: Springer Nature
ISBN: 9811938989
Category : Mathematics
Languages : en
Pages : 492
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Book Description
This proceedings is a collection of research papers on algebra and related topics, most of which were presented at the International Conference on Algebra and Related Topics with Applications (ICARTA-19), held at the Department of Mathematics, Aligarh Muslim University, Aligarh, India, from 17–19 December 2019. It covers a wide range of topics on ring theory, coding theory, cryptography, and graph theory. In addition to highlighting the latest research being done in algebra, the book also addresses the abundant topics of algebra particularly semigroups, groups, derivations in rings, rings and modules, group rings, matrix algebra, triangular algebra, polynomial rings and lattice theory. Apart from these topics, the book also discusses applications in cryptology, coding theory, and graph theory.
Author: Onofrio Mario Di Vincenzo
Publisher: Springer Nature
ISBN: 3030631117
Category : Mathematics
Languages : en
Pages : 421
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Book Description
This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. The purpose of the book is to present the current state of the art in the theory of PI-algebras. The review of the classical results in the last few years has pointed out new perspectives for the development of the theory. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems. It is addressed to researchers in the field.
Author: P. M. Cohn
Publisher: Cambridge University Press
ISBN: 1139454994
Category : Mathematics
Languages : en
Pages : 21
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Book Description
Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a generalization, the weak algorithm, which can be used to prove that all one-sided ideals are free. This book presents the theory of free ideal rings (firs) in detail. Particular emphasis is placed on rings with a weak algorithm, exemplified by free associative algebras. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention. Each section has a number of exercises, including some open problems, and each chapter ends in a historical note.
Author: Andy R. Magid
Publisher: CRC Press
ISBN: 1000153363
Category : Mathematics
Languages : en
Pages : 266
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Book Description
"Presenting the proceedings of a conference held recently at Northwestern University, Evanston, Illinois, on the occasion of the retirement of noted mathematician Daniel Zelinsky, this novel reference provides up-to-date coverage of topics in commutative and noncommutative ring extensions, especially those involving issues of separability, Galois theory, and cohomology."
