Complexes of C-projective modules
Ensiyeh Amanzadeh, Mohammad T. Dibaei
TL;DR
This paper explores how $C$--perfect complexes related to a semidualizing bimodule can identify strongly regular rings, introducing modules with minimal $C$--projective resolutions.
Contribution
It demonstrates that $C$--perfect complexes can detect strong regularity and identifies a class of modules with minimal $C$--projective resolutions, extending previous work.
Findings
$C$--perfect complexes detect strongly regular rings
Existence of modules with minimal $C$--projective resolutions
Extension of Buchweitz and Flenner's work
Abstract
Inspired by a recent work of Buchweitz and Flenner, we show that, for a semidualizing bimodule , --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 --projective modules.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Rings, Modules, and Algebras · Advanced Topics in Algebra