£130.00

CRC Press Classes of Modules (Pure and Applied Mathematics)

Name: CRC Press Classes of Modules (Pure and Applied Mathematics)
Brand: CRC Press
Price: 130.0 GBP
Availability: InStock

Algebra

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Description

Expand your understanding of ring and module theory with Classes of Modules from the Chapman and Hall/CRC Pure and Applied Mathematics series. Traditional ring theory often relies on restrictive hypotheses applied to all submodules, which limits its practical application to a small number of well-understood examples. This text offers a different approach by focusing on natural classes and type submodules (TS). This book addresses the limitations found in standard methods, such as when modules with infinite Goldie dimension possess a finite-type dimension. By utilizing type dimension instead of Goldie dimension, researchers can work with a broader range of mathematical structures. The text develops the necessary foundations and tools required for the next generation of ring and module theory. It provides a method for achieving positive results by placing restrictive hypotheses on a small subset of the complement submodules, rather than the entire module. This makes it a valuable resource for mathematicians studying advanced algebraic structures.

Key Features

Addresses limitations in traditional ring theory by moving beyond restrictive hypotheses on all submodules.

Provides tools for working with modules that have infinite Goldie dimension through the use of type dimension.

Develops foundational concepts for the next generation of ring and module theory research.

Introduces the use of natural classes and type submodules (TS) to expand mathematical applications.

Offers a method to achieve positive results by focusing hypotheses on a small subset of complement submodules.

Product Specifications

Brand: CRC Press
Format: hardcover
ASIN: 1584886609
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 19 June 2006
Listed Since: 12 December 2006

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CRC Press Classes of Modules (Pure and Applied Mathematics)

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