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Approximations and Endomorphism Algebras of Modules

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10129322" target="_blank" >RIV/00216208:11320/12:10129322 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1515/9783110218114" target="_blank" >http://dx.doi.org/10.1515/9783110218114</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1515/9783110218114" target="_blank" >10.1515/9783110218114</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Approximations and Endomorphism Algebras of Modules

  • Original language description

    This second, revised and substantially extended edition of Approximations and Endomorphism Algebras of Modules reflects both the depth and the width of recent developments in the area since the first edition appeared in 2006. The new division of the monograph into two volumes roughly corresponds to its two central topics, approximation theory (Volume 1) and realization theorems for modules (Volume 2). It is a widely accepted fact that the category of all modules over a general associative ring is too complex to admit classification. Unless the ring is of finite representation type we must limit attempts at classification to some restricted subcategories of modules. The wild character of the category of all modules, or of one of its subcategories C, isoften indicated by the presence of a realization theorem, that is, by the fact that any reasonable algebra is isomorphic to the endomorphism algebra of a module from C. This results in the existence of pathological direct sum decompositio

  • Czech name

  • Czech description

Classification

  • Type

    B - Specialist book

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • ISBN

    978-3-11-021810-7

  • Number of pages

    912

  • Publisher name

    Walter de Gruyter GmbH & Co

  • Place of publication

    Berlin

  • UT code for WoS book