Auslander Class, G C , and C–projective Modules Modulo Exact Zero-divisors

E Amanzadeh, MT Dibaei - Communications in Algebra, 2015 - Taylor & Francis
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[PDF][PDF] Auslander class, GC-projective and C-projective modules modulo exact zero-divisors

E Amanzadeh, MT Dibaei - arXiv preprint arXiv:1301.4078, 2013 - Citeseer
For a semidualizing module C over a ring R, the class of GC–projectives, GC, the Auslander
class AC and the Bass class BC, modulo an exact zero–divisor, are studied. For an R …

On the theory and applications of -dimension with respect to a semidualizing module

CB Miranda-Neto, TS Souza - Journal of Algebra and Its …, 2023 - World Scientific
We contribute to the theory of G-dimension relative to a semidualizing module C, in
connection to the properties of a module being totally C-reflexive, Ck-torsionless, and Ck …

Tensor and torsion products of relative injective modules with respect to a semidualizing module

M Salimi, E Tavasoli, S Yassemi - Communications in Algebra, 2015 - Taylor & Francis
Let R be a commutative Cohen–Macaulay ring, and let C be a semidualizing module of R. In
this paper, we show that C is generically dualizing if and only if the tensor products of …

Injective near-ring modules over 𝑍_ {𝑛}

JDP Meldrum - Proceedings of the American Mathematical Society, 1978 - ams.org
INJECTTVE NEAR-RING MODULES OVER Z„ Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 68, Number 1, January 1978 INJECTTVE NEAR-RING …

[PDF][PDF] Quasi-injective modules with acc or dcc on essential submodules

NV Dung, DV Huynh, R Wisbauer - Arch. Math, 1989 - academia.edu
In this paper modules with ascending chain condition (acc)(respectively, with descending
chain conditon (dcc)) on essential submodules are investigated: Finitely generated quasi …

Envelopes, covers and semidualizing modules

L Mao - Journal of Algebra and Its Applications, 2019 - World Scientific
Given an R-module C and a class of R-modules 𝒟 over a commutative ring R, we investigate
the relationship between the existence of 𝒟-envelopes (respectively, 𝒟-covers) and the …

Ding projective modules with respect to a semidualizing bimodule

C Zhang, L Wang, Z Liu - 2015 - projecteuclid.org
Let R and S be rings and _SC_R a faithfully semidualizing bimodule. A left S-module M is
called Ding C-projective if there exists an exact sequence of C-projective left S-modules …

Some characterizations of dualizing complexes in terms of -dimension

MR Zargar - arXiv preprint arXiv:2305.10244, 2023 - arxiv.org
Let $(R,\fm) $ be a local ring and $ C $ be a homologically bounded and finitely generated $
R $-complex. Then, we prove that $ C $ is a dualizing complex of $ R $ if and only if $ C $ is …

-projective dimensions, Foxby equivalence and -projective modules

L Zhao, Y Zhou - Journal of Algebra and Its Applications, 2016 - World Scientific
This is a study of Ding projective modules relative to a semidualizing module and related
topics. Firstly, we study DC-projective dimensions and DC-projective modules under change …