Complexes of C-projective modules

2014/01/19 by Ensiyeh Amanzadeh, Amanzadeh, Ensiyeh, Mohammad T. Dibaei +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras #math.AC

paper · pdf · doi:10.48550/arxiv.1401.4700

10 pages, To appear in Bulletin of the Iranian Mathematical Society

openalex publication_date 2014/01/19 · arxiv created 2015/06/19 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Ding projective complexes with respect to a semidualizing module
• Characterizing local rings via perfect and coperfect modules
• Pure resolutions of unbounded complexes of modules
• Support and injective resolutions of complexes over commutative rings
• The balance of relative Ext groups defined by semi dualizing modules