Automorphisms and Derivations of Associative Rings V. Kharchenko Author - libro nuevo
ISBN: 9780792313823
The theory of automorphisms and derivations of associative rings is a direct descendant of the development of classical Galois theory and the theory of invariants. This volume presents a… Más…
The theory of automorphisms and derivations of associative rings is a direct descendant of the development of classical Galois theory and the theory of invariants. This volume presents a comprehensive overview of the methods and results of that theory, which has been greatly enriched during the last twenty years. Some of the material included appears for the first time. Among the problems discussed in this book are the following: construction of a Galois theory for prime and semiprime rings and its application to domains and free algebras; investigation of the problems of the algebraic dependence of automorphisms and derivations; studies of the fixed rings for finite groups and rings of constants for differential Lie algebras acting on the rings; non-commutative invariants of linear groups; theorems of finite groups acting on modular lattices; actions of Hopf algebras. The monograph is meant for specialists in algebra, but it can also be useful for a wider range of mathematicians. The inclusions in the book of the latest achievements on the structural theory of rings with generalized identities makes it desirable reading for graduate students as well. New Textbooks>Hardcover>Science>Mathematics>Mathematics, Springer Netherlands Core >2 >T<
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Automorphisms and Derivations of Associative Rings V. Kharchenko Author - libro nuevo
ISBN: 9780792313823
The theory of automorphisms and derivations of associative rings is a direct descendant of the development of classical Galois theory and the theory of invariants. This volume presents a… Más…
The theory of automorphisms and derivations of associative rings is a direct descendant of the development of classical Galois theory and the theory of invariants. This volume presents a comprehensive overview of the methods and results of that theory, which has been greatly enriched during the last twenty years. Some of the material included appears for the first time. Among the problems discussed in this book are the following: construction of a Galois theory for prime and semiprime rings and its application to domains and free algebras; investigation of the problems of the algebraic dependence of automorphisms and derivations; studies of the fixed rings for finite groups and rings of constants for differential Lie algebras acting on the rings; non-commutative invariants of linear groups; theorems of finite groups acting on modular lattices; actions of Hopf algebras. The monograph is meant for specialists in algebra, but it can also be useful for a wider range of mathematicians. The inclusions in the book of the latest achievements on the structural theory of rings with generalized identities makes it desirable reading for graduate students as well. New Textbooks>Hardcover>Science>Mathematics>Mathematics, Springer Netherlands Core >2 >T<
new in stock. Gastos de envío:zzgl. Versandkosten., más gastos de envío
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The theory of automorphisms and derivations of associative rings is a direct descendant of the development of classical Galois theory. This volume presents an overview of the methods and results of that theory. It also discusses non-commutative invariants of linear groups; theorems of finite groups acting on modular lattices; and more.
Detalles del libro - Automorphisms and Derivations of Associative Rings V. Kharchenko Author
EAN (ISBN-13): 9780792313823 ISBN (ISBN-10): 0792313828 Tapa dura Año de publicación: 1991 Editorial: Springer Netherlands Core >2 >T 404 Páginas Peso: 0,765 kg Idioma: eng/Englisch
Libro en la base de datos desde 2007-02-04T21:39:02+01:00 (Madrid) Página de detalles modificada por última vez el 2020-11-04T14:56:01+01:00 (Madrid) ISBN/EAN: 0792313828
ISBN - escritura alterna: 0-7923-1382-8, 978-0-7923-1382-3 Mode alterno de escritura y términos de búsqueda relacionados: Autor del libro: kharchenko Título del libro: rings around, derivations
Datos del la editorial
Autor: V. Kharchenko Título: Mathematics and its Applications; Automorphisms and Derivations of Associative Rings Editorial: Springer; Springer Netherland 385 Páginas Año de publicación: 1991-10-31 Dordrecht; NL Idioma: Inglés 106,99 € (DE) 109,99 € (AT) 118,00 CHF (CH) Available XIV, 385 p.
BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Galois group; Galois theory; Lattice; Lie algebra; algebra; associative ring; automorphism; differential algebra; finite group; transformation; Commutative Rings and Algebras; Associative Rings and Algebras; Non-associative Rings and Algebras; BC
1. Structure of Rings.- 1.1 Baer Radical and Semiprimeness.- 1.2 Automorphism Groups and Lie Differential Algebras.- 1.3 Bergman-Isaacs Theorem. Shelter Integrality.- 1.4 Martindale Ring of Quotients.- 1.5 The Generalized Centroid of a Semiprime Ring.- 1.6 Modules over a Generalized Centroid.- 1.7 Extension of Automorphisms to a Ring of Quotients. Conjugation Modules.- 1.8 Extension of Derivations to a Ring of Quotients.- 1.9 The Canonical Sheaf of a Semiprime Ring.- 1.10 Invariant Sheaves.- 1.11 The Metatheorem.- 1.12 Stalks of Canonical and Invariant Sheaves.- 1.13 Martindale’s Theorem.- 1.14 Quite Primitive Rings.- 1.15 Rings of Quotients of Quite Primitive Rings.- 2. On Algebraic Independence of Automorphisms And Derivations.- 2.0 Trivial Algebraic Dependences.- 2.1 The Process of Reducing Polynomials.- 2.2 Linear Differential Identities with Automorphisms.- 2.3 Multilinear Differential Identities with Automorphisms.- 2.4 Differential Identities of Prime Rings.- 2.5 Differential Identities of Semiprime Rings.- 2.6 Essential Identities.- 2.7 Some Applications: Galois Extentions of Pi-Rings; Algebraic Automorphisms and Derivations; Associative Envelopes of Lie-Algebras of Derivations.- 3. The Galois Theory of Prime Rings (The Case Of Automorphisms).- 3.1 Basic Notions.- 3.2 Some Properties of Finite Groups of Outer Automorphisms.- 3.3 Centralizers of Finite-Dimensional Algebras.- 3.4 Trace Forms.- 3.5 Galois Groups.- 3.6 Maschke Groups. Prime Dimensions.- 3.7 Bimodule Properties of Fixed Rings.- 3.8 Ring of Quotients of a Fixed Ring.- 3.9 Galois Subrings for M-Groups.- 3.10 Correspondence Theorems.- 3.11 Extension of Isomorphisms.- 4. The Galois Theory of Prime Rings (The Case Of Derivations).- 4.1 Duality for Derivations in the Multiplication Algebra.- 4.2Transformation of Differential Forms.- 4.3 Universal Constants.- 4.4 Shirshov Finiteness.- 4.5 The Correspondence Theorem.- 4.6 Extension of Derivations.- 5. The Galois Theory of Semiprime Rings.- 5.1 Essential Trace Forms.- 5.2 Intermediate Subrings.- 5.3 The Correspondence Theorem for Derivations.- 5.4 Basic Notions of the Galois Theory of Semiprime Rings (the case of automorphisms).- 5.5 Stalks of an Invariant Sheaf for a Regular Group. Homogenous Idempotents.- 5.6 Principal Trace Forms.- 5.7 Galois Groups.- 5.8 Galois Subrings for Regular Closed Groups.- 5.9 Correspondence and Extension Theorems.- 5.10 Shirshov Finiteness. The Structure of Bimodules.- 6. Applications.- 6.1 Free Algebras.- 6.2 Noncommutative Invariants.- 6.3 Relations of a Ring with Fixed Rings.- 6.4 Relations of a Semiprime Ring with Ring of Constants.- 6.5 Hopf Algebras.- References.
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