English

Auslander class, $\g_C$ and $C$--projective modules modulo exact zero-divisors

Commutative Algebra 2014-07-11 v2

Abstract

For a semidualizing module CC over a ring RR, we study the following classes modulo exact zero divisors: \gC\g_C--projectives, GC\mathcal G_C; the Auslander class AC\mathcal A_C; the Bass class BC\mathcal B_C; PC\mathcal{P}_C--projective; FC {\mathcal F}_C--projective; and IC{\mathcal I}_C--injective dimensions.

Keywords

Cite

@article{arxiv.1301.4078,
  title  = {Auslander class, $\g_C$ and $C$--projective modules modulo exact zero-divisors},
  author = {Ensiyeh Amanzadeh and Mohammad T. Dibaei},
  journal= {arXiv preprint arXiv:1301.4078},
  year   = {2014}
}

Comments

12 pages, To appear in Communications in Algebra

R2 v1 2026-06-21T23:11:10.350Z