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:
bulletin of the iranian mathematical society

جلد ۴۲، شماره ۴، صفحات ۹۴۹-۹۵۸

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