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CLASSIFYING PROJECTIVE MODULES OVER SOME SEMILOCAL RINGS

NIKOLAY DUBROVIN

Department of Mathematics, Vladimir State University, Gorky Street 87, Vladimir, 600000, Russia

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and

GENA PUNINSKI

School of Mathematics, Manchester University, Alan Turing Building, Oxford Road, Manchester, M13 9PL, UK

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https://doi.org/10.1142/S0219498807002521Cited by:6 (Source: Crossref)

Abstract

We investigate the module theory of a certain class of semilocal rings connected with nearly simple uniserial domains. For instance, we classify finitely presented and pure-projective modules over these rings and calculate their projective dimension.

Keywords:

AMSC: 16D40, 16D70, 16E10, 16S50

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