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Finitely Presented Right Modules Over a Left Pure‐Semisimple Ring
Author(s) -
Herzog Ivo
Publication year - 1994
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/26.4.333
Subject(s) - mathematics , ring (chemistry) , citation , algebra over a field , library science , computer science , pure mathematics , chemistry , organic chemistry
j ^)- Zimmermann-Huisgen [22, Corollary 2]showed that these are the left pure-semisimple rings defined below. And although leftpure-semisimple rings have many attractive features (see [15, p. 210]), it is not knownwhether they are all of finite representation type, that is, left artinian with only finitelymany indecomposable left modules.Auslander [1] showed that every left pure-semisimple artin algebra is of finiterepresentation type (an artin algebra is a ring which is finitely generated as a moduleover an artinian centre). If A is an artin algebra an