Quotient Rings and Embeddings of Noetherian Rings PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Quotient Rings and Embeddings of Noetherian Rings PDF full book. Access full book title Quotient Rings and Embeddings of Noetherian Rings by Anders Jensen. Download full books in PDF and EPUB format.
Author: Anders Jensen
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
Get Book Here
Book Description
Author: Anders Jensen
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
Get Book Here
Book Description
Author: K. R. Goodearl
Publisher: Cambridge University Press
ISBN: 9780521545372
Category : Mathematics
Languages : en
Pages : 372
Get Book Here
Book Description
This introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. New material includes the basic types of quantum groups, which then serve as test cases for the theory developed.
Author: A. V. Jategaonkar
Publisher: Cambridge University Press
ISBN: 0521317134
Category : Mathematics
Languages : en
Pages : 341
Get Book Here
Book Description
This monograph first published in 1986 is a reasonably self-contained account of a large part of the theory of non-commutative Noetherian rings. The author focuses on two important aspects: localization and the structure of infective modules. The former is presented in the opening chapters after which some new module-theoretic concepts and methods are used to formulate a new view of localization. This view, which is one of the book's highlights, shows that the study of localization is inextricably linked to the study of certain injectives and leads, for the first time, to some genuine applications of localization in the study of Noetherian rings. In the last part Professor Jategaonkar introduces a unified setting for four intensively studied classes of Noetherian rings: HNP rings, PI rings, enveloping algebras of solvable Lie algebras, and group rings of polycyclic groups. Some appendices summarize relevant background information about these four classes.
Author: Carolyn Anne Dean
Publisher:
ISBN:
Category : Associative rings
Languages : en
Pages : 118
Get Book Here
Book Description
Author: Ken Brown
Publisher: Birkhäuser
ISBN: 303488205X
Category : Mathematics
Languages : en
Pages : 339
Get Book Here
Book Description
This book consists of an expanded set of lectures on algebraic aspects of quantum groups. It particularly concentrates on quantized coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are developed in full textbook style, featuring many examples and numerous exercises; other portions are discussed with sketches of proofs, while still other material is quoted without proof.
Author: Hans Schoutens
Publisher: Springer
ISBN: 3642133681
Category : Mathematics
Languages : en
Pages : 215
Get Book Here
Book Description
In spite of some recent applications of ultraproducts in algebra, they remain largely unknown to commutative algebraists, in part because they do not preserve basic properties such as Noetherianity. This work wants to make a strong case against these prejudices. More precisely, it studies ultraproducts of Noetherian local rings from a purely algebraic perspective, as well as how they can be used to transfer results between the positive and zero characteristics, to derive uniform bounds, to define tight closure in characteristic zero, and to prove asymptotic versions of homological conjectures in mixed characteristic. Some of these results are obtained using variants called chromatic products, which are often even Noetherian. This book, neither assuming nor using any logical formalism, is intended for algebraists and geometers, in the hope of popularizing ultraproducts and their applications in algebra.
Author: H.E.A. Eddy Campbell
Publisher: Springer Science & Business Media
ISBN: 3642174043
Category : Mathematics
Languages : en
Pages : 233
Get Book Here
Book Description
This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers—an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter.
Author: Louis H. Rowen
Publisher: Academic Press
ISBN: 0080925480
Category : Mathematics
Languages : en
Pages : 653
Get Book Here
Book Description
This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers:**"As a textbook for graduate students, Ring Theory joins the best....The experts will find several attractive and pleasant features in Ring Theory. The most noteworthy is the inclusion, usually in supplements and appendices, of many useful constructions which are hard to locate outside of the original sources....The audience of nonexperts, mathematicians whose speciality is not ring theory, will find Ring Theory ideally suited to their needs....They, as well as students, will be well served by the many examples of rings and the glossary of major results."**--NOTICES OF THE AMS
Author: John C. McConnell
Publisher: American Mathematical Soc.
ISBN: 0821821695
Category : Mathematics
Languages : en
Pages : 658
Get Book Here
Book Description
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: Craig Huneke
Publisher: Cambridge University Press
ISBN: 0521688604
Category : Mathematics
Languages : en
Pages : 446
Get Book Here
Book Description
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
