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Approximations and endomorphism algebras of modules.


Approximations and endomorphism algebras of modules.

Goebel, Ruediger and Jan Trlifaj.

Walter de Gruyter


640 pages



De Gruyter expositions in mathematics; 41


This mathematical monographs brings together the use of realization theorems related to the non-classification theory of the category of Mod-R of arbitrary modules over a general associative unital ring R combined with the approximation theory of modules, which has been developed in order to select suitable subcategories C that allow classification, and then approximate arbitrary modules by the ones from C. The authors first develop the approximation theory of modules, together with recent applications (including to infinite- dimensional tilting theory) and then develop prediction principles as tools to obtain the realization theorems. The intended audience includes graduate students interested in algebra, as well as experts in module and representation theory.

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Publication:SciTech Book News
Article Type:Book Review
Date:Dec 1, 2006
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