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• W2015404245 abstract "Let R be a right pure semisimple ring, i.e., a ring R such that every right R-module is a direct sum of finitely generated modules. It is proved that R is of finite representation type if and only if every finitely presented (indecomposable) right R-module is endofinite, if and only if every finitely presented right R-module has a left artinian endomorphism ring. As applications, we obtain an alternative proof of the pure semisimplicity conjecture for PI-rings, and new criteria for a right pure semisimple ring to be of finite representation type." @default.
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• W2015404245 date "2005-07-01" @default.
• W2015404245 modified "2023-10-17" @default.
• W2015404245 title "Endofinite modules and pure semisimple rings" @default.
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• W2015404245 doi "https://doi.org/10.1016/j.jalgebra.2005.01.004" @default.
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