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Classifying Modules in Add of a Class of Modules with Semilocal Endomorphism Rings

Publikace na Matematicko-fyzikální fakulta |
2020

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

We present a dimension theory for modules in Add(C), where C is a class of modules with semilocal endomorphism rings satisfying certain smallness conditions. For example, if C is the class of all finitely presented modules over a semilocal ring R, then we get cardinal invariants which describe pure projective R-modules up to isomorphism.