Complexes of $C$-projective modules

Document Type: Research Paper

Authors

1 Faculty of Mathematical Sciences and Computer‎, ‎Kharazmi University‎, ‎Tehran‎, ‎Iran‎.

2 Faculty of Mathematical Sciences and Computer‎, ‎Kharazmi University‎, ‎Tehran‎, ‎Iran and School of Mathematics‎, ‎Institute for Research in Fundamental Sciences (IPM)‎, ‎P.O‎. ‎Box‎ ‎19395-5746‎, ‎Tehran‎, ‎Iran.

Abstract

Inspired by a recent work of Buchweitz and Flenner, we show that, for a semidualizing bimodule $C$, $C$--perfect complexes have the ability to detect when a ring is strongly regular. It is shown that there exists a class of modules which admit minimal resolutions of $C$--projective modules.

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Main Subjects


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