Complexes of $C$-projective modules

Authors

  • E. Amanzadeh Faculty of Mathematical Sciences and Computer‎, ‎Kharazmi University‎, ‎Tehran‎, ‎Iran‎.
  • M. T. Dibaei 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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Journal title

volume 42  issue 4

pages  949- 958

publication date 2016-08-01

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