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Rings close to regular

Author: Askar A Tuganbaev
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©2002.
Series: Mathematics and its applications (Kluwer Academic Publishers), v. 545.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Starting from a basic understanding of ring theory, the theory of rings close to regular is presented and accompanied with complete proofs." "The book will appeal to readers from beginners to researchers and specialists in algebra; it concludes with an extensive bibliography."--Jacket.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Askar A Tuganbaev
ISBN: 1402008511 9781402008511
OCLC Number: 50422931
Description: xii, 350 pages ; 25 cm.
Contents: 1. Some Basic Facts of Ring Theory. Preliminaries. Finiteness Conditions and the Jacobson Radical. Semiprime and Reduced Rings. Series and Polynomials. Rings of Quotients --
2. Regular and Strongly Regular Rings. Regular Modules and Rings. Biregular and Strongly Regular Rings. Modules over Regular Rings. Regular Group Rings. Regular Laurent Series Rings. Pierce Stalks of Regular Rings. Regular Quaternion Algebras --
3. Rings of Bounded Index and I[subscript 0]-rings. Nonsingular and Finite-dimensional Rings. Rings of Bounded Index. I[subscript 0]-rings. Semiperfect Rings --
4. Semiregular and Weakly Regular Rings. Semiregular Modules. Semiregular Rings and Continuous Modules. Weakly Regular Rings. Semi-Artinian and Perfect Rings.
Series Title: Mathematics and its applications (Kluwer Academic Publishers), v. 545.
Responsibility: by Askar Tuganbaev.
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Abstract:

A ring A is said to be tr-regular if for every element a E A, there is an element n b E A such that an = anba for some positive integer n. The factor ring of the ring of integers with respect to the  Read more...

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From the reviews:"This is the first monograph on rings close to von Neumann regular rings. ... The book will appeal to readers from beginners to researchers and specialists in algebra; it concludes Read more...

 
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