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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… More...

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Kharchenko, V.:

Automorphisms and Derivations of Associative Rings - hardcover

1991, ISBN: 0792313828

1991 Gebundene Ausgabe Galois group; Galois theory; Lattice; Lie algebra; algebra; associative ring; automorphism; differential algebra; finite group; transformation, mit Schutzumschlag… More...

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Kharchenko, V.:
Automorphisms and Derivations of Associative Rings - hardcover

1991

ISBN: 0792313828

1991 Gebundene Ausgabe Galois group; Galois theory; Lattice; Lie algebra; algebra; associative ring; automorphism; differential algebra; finite group; transformation, met couverture ne… More...

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Automorphisms and Derivations of Associative Rings - Kharchenko, V.
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Kharchenko, V.:
Automorphisms and Derivations of Associative Rings - hardcover

1991, ISBN: 0792313828

1991 Gebundene Ausgabe Galois group; Galois theory; Lattice; Lie algebra; algebra; associative ring; automorphism; differential algebra; finite group; transformation, Protège-cahier neu… More...

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V. Kharchenko:
Automorphisms and Derivations of Associative Rings - hardcover

1991, ISBN: 9780792313823

1991 ed., Hardcover, Buch, [PU: Springer]

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Automorphisms and Derivations of Associative Rings V. Kharchenko Author
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ISBN:

9780792313823


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.

Details of the book - Automorphisms and Derivations of Associative Rings V. Kharchenko Author


EAN (ISBN-13): 9780792313823
ISBN (ISBN-10): 0792313828
Hardcover
Publishing year: 1991
Publisher: Springer Netherlands Core >2 >T
404 Pages
Weight: 0,765 kg
Language: eng/Englisch

Book in our database since 2007-02-04T15:39:02-05:00 (New York)
Detail page last modified on 2020-11-04T08:56:01-05:00 (New York)
ISBN/EAN: 9780792313823

ISBN - alternate spelling:
0-7923-1382-8, 978-0-7923-1382-3
Alternate spelling and related search-keywords:
Book author: kharchenko
Book title: rings around, derivations

Information from Publisher

Author: V. Kharchenko
Title: Mathematics and its Applications; Automorphisms and Derivations of Associative Rings
Publisher: Springer; Springer Netherland
385 Pages
Publishing year: 1991-10-31
Dordrecht; NL
Language: English
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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