عنوان

Ring constructions and applications /

شابک

1281948047

شابک

661194804X

شابک

9781281948045

شابک

9786611948047

شابک

9789812799722

شابک

9812799729

شابک اشتباه

9810247451

شماره

b715229

عنوان اصلي

Ring constructions and applications /

نام عام مواد

[Book]

نام نخستين پديدآور

Andrei V. Kelarev.

محل نشرو پخش و غیره

River Edge, N.J. :

نام ناشر، پخش کننده و غيره

World Scientific,

تاریخ نشرو بخش و غیره

©2002.

نام خاص و کميت اثر

1 online resource (xi, 205 pages).

عنوان فروست

Series in algebra ;

مشخصه جلد

v. 9

متن يادداشت

Includes bibliographical references (pages 157-200) and index.

متن يادداشت

Ch. 1. Preliminaries. 1.1. Groupoids. 1.2. Groups. 1.3. Semigroups. 1.4. Rings -- ch. 2. Graded rings. 2.1 Groupoid-graded rings. 2.2. Semigroup-graded rings. 2.3. Group-graded rings. 2.4. Superalgebras -- ch. 3. Examples of ring constructions. 3.1. Direct, subdirect and semidirect products. 3.2. 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. 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 -- ch. 4. The Jacobson radical. 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 -- ch. 5. Groups of units -- ch. 6. Finiteness conditions. 6.1. Groupoid-graded rings. 6.2. Structural approach of Jespers and Okninski. 6.3. Finiteness conditions and homogeneous components. 6.4. Classical Krull dimension and Gabriel dimension -- ch. 7. Pi-rings and varieties -- ch. 8. Gradings of matrix rings. 8.1. Full and upper triangular matrix rings. 8.2. Gradings by two-element semigroups. 8.3. Structural matrix superalgebras -- ch. 9. Examples of applications. 9.1. Codes as ideals in group rings. 9.2. Codes as ideals in matrix rings. 9.3. Color Lie superalgebras. 9.4. Combinatorial applications. 9.5. Applications in logic -- ch. 10. Open problems.

بدون عنوان

0

متن يادداشت

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 group, semigroup and ring theories used in proofs.

عنوان

Ring constructions and applications.

شماره استاندارد بين المللي کتاب و موسيقي

9789810247454

موضوع مستند نشده

Rings (Algebra)

موضوع مستند نشده

Anneaux (Algèbre)

موضوع مستند نشده

ANÉIS E ÁLGEBRAS ASSOCIATIVOS.

موضوع مستند نشده

MATHEMATICS-- Algebra-- Intermediate.

موضوع مستند نشده

MÓDULOS (ÁLGEBRA)

موضوع مستند نشده

Rings (Algebra)

موضوع مستند نشده

MAT-- 002040

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Kelarev, A. V., (Andrei V.)

تاريخ عمليات

20201208053105.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y