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Ring Constructions and Applications.
This book contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Recent research results on groupoid-graded rings and more speciali...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2001.
|
| Colección: | Series in algebra.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
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| 100 | 1 | |a Kelarev, A. V. |q (Andrei V.) |1 https://id.oclc.org/worldcat/entity/E39PCjv4M3gMBfKvPRVDqhJwbq | |
| 245 | 1 | 0 | |a Ring Constructions and Applications. |
| 260 | |a Singapore : |b World Scientific Publishing Company, |c 2001. | ||
| 300 | |a 1 online resource (218 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Series in Algebra | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This book contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Recent research results on groupoid-graded rings and more specialized constructions are presented. In addition, there is a chapter containing open problems currently considered in the literature. Ring Constructions and Applications can serve as an excellent introduction for graduate students to many ring constructions as well as to essential basic concepts of grou. | ||
| 505 | 0 | |a Preface ; Chapter 1 Preliminaries ; 1.1 Groupoids ; 1.2 Groups ; 1.3 Semigroups ; 1.4 Rings ; Chapter 2 Graded Rings ; 2.1 Groupoid-Graded Rings ; 2.2 Semigroup-Graded Rings ; 2.3 Group-Graded Rings ; 2.4 Superalgebras ; Chapter 3 Examples of Ring Constructions. | |
| 505 | 8 | |a 3.1 Direct, Subdirect and Semidirect Products3.2 Group and Semigroup Rings, Monomial Rings ; 3.3 Crossed Products ; 3.4 Polynomial and Skew Polynomial Rings ; 3.5 Skew Group and Semigroup Rings ; 3.6 Twisted Group and Semigroup Rings ; 3.7 Power and Skew Power Series Rings ; 3.8 Edge and Path Algebras. | |
| 505 | 8 | |a 3.9 Matrix Rings and Generalized Matrix Rings 3.10 Triangular Matrix Representations ; 3.11 Morita Contexts ; 3.12 Rees Matrix Rings ; 3.13 Smash Products ; 3.14 Structural Matrix Rings ; 3.15 Incidence Algebras ; Chapter 4 The Jacobson Radical. | |
| 505 | 8 | |a 4.1 The Jacobson Radical of Groupoid-Graded Rings 4.2 Descriptions of the Jacobson Radical ; 4.3 Semisimple Semigroup-Graded Rings ; 4.4 Homogeneous Radicals ; 4.5 Radicals and Homogeneous Components ; 4.6 Nilness and Nilpotency ; Chapter 5 Groups of Units. | |
| 505 | 8 | |a Chapter 6 Finiteness Conditions 6.1 Groupoid-Graded Rings ; 6.2 Structural Approach of Jespers and Okininski; 6.3 Finiteness Conditions and Homogeneous Components ; 6.4 Classical Krull Dimension and Gabriel Dimension ; Chapter 7 PI-Rings and Varieties ; Chapter 8 Gradings of Matrix Rings. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Rings (Algebra) | |
| 650 | 6 | |a Anneaux (Algèbre) | |
| 650 | 7 | |a Rings (Algebra) |2 fast | |
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| 776 | 0 | 8 | |i Print version: |z 9789810247454 |
| 830 | 0 | |a Series in algebra. | |
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| 994 | |a 92 |b IZTAP | ||