DG-projective, injective and flat complexes

X Yang, Z Liu - Algebra Colloquium, 2013 - World Scientific
In this article, we characterize some rings in terms of the DG-projective, injective and flat
complexes. We also give some connections between DG-injective complexes and DG-flat …

GP-projective and GI-injective modules.

Q Pan, X Zhu - Mathematical Notes, 2012 - search.ebscohost.com
GP-Projective and GI-Injective Modules* Page 1 ISSN 0001-4346, Mathematical Notes, 2012,
Vol. 91, No. 6, pp. 824–832. © Pleiades Publishing, Ltd., 2012. Published in Russian in …

-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 …

D3-Modules

M Yousif, I Amin, Y Ibrahim - Communications in Algebra, 2014 - Taylor & Francis
A right R-module M is called a D 3-module, if M 1 and M 2 are direct summands of M with M=
M 1+ M 2, then M 1∩ M 2 is a direct summand of M. Following the work of Bass on projective …

Weak injective and weak flat complexes

Z Gao, Z Huang - Glasgow Mathematical Journal, 2016 - cambridge.org
Let R be an arbitrary ring. We introduce and study a generalization of injective and flat
complexes of modules, called weak injective and weak flat complexes of modules …

! THE-PRODUCT OF DG-INJECTIVE COMPLEXES

EE Enochs, A Iacob - Proceedings of the Edinburgh Mathematical …, 2006 - cambridge.org
!THE $\aleph_1$-PRODUCT OF DG-INJECTIVE COMPLEXES Page 1 Proceedings of the
Edinburgh Mathematical Society (2006) 49, 257–266 c DOI:10.1017/S0013091505000143 …

Large subdirect products of flat modules

L Oyonarte, B Torrecillas - Communications in Algebra, 1996 - Taylor & Francis
Several papers find conditions on a ring R in order for certain properties of modules to be
preserved under direct sums, and direct products. Thus we know when direct sums of …

RD-flatness and RD-injectivity of simple modules

A Moradzadeh-Dehkordi, F Couchot - Journal of Pure and Applied Algebra, 2022 - Elsevier
We say that a ring R is a right RDV-ring if each simple right R-module is RD-injective. In this
paper, we study the notion of RDV-rings which is a non-trivial generalization of V-rings and …

[PDF][PDF] DP-projective modules and dimensions

T Zhao - International Electronic Journal of Algebra, 2014 - dergipark.org.tr
In this paper, we introduce the notion of DP-projective modules. It is shown that a left R-
module M over a ring R is DP-projective if and only if it is a cokernel of a Ding projective …

RD-flatness and RD-injectivity

F Couchot - Communications in Algebra, 2006 - Taylor & Francis
It is proven that every commutative ring whose RD-injective modules are Σ-RD-injective is
the product of a pure semisimple ring and a finite ring. A complete characterization of …