On minimal absolutely pure domain of RD-flat modules
Y ALAGÖZ - Turkish Journal of Mathematics, 2022 - journals.tubitak.gov.tr
Abstract Given modules $ A_ {R} $ and $ _ {R} B $, $ _ {R} B $ is called absolutely $ A_ {R}
$-pure if for every extension $ _ {R} C $ of $ _ {R} B $, $ A\otimes B\rightarrow A\otimes C …
$-pure if for every extension $ _ {R} C $ of $ _ {R} B $, $ A\otimes B\rightarrow A\otimes C …
RD-projective module whose subprojectivity domain is minimal
Y DURĞUN - Hacettepe Journal of Mathematics and Statistics, 2022 - dergipark.org.tr
A p-indigent module is one that is subprojective only to projective modules. An RD-
projective module is subprojective to any torsionfree (and flat) module. An RD-projective …
projective module is subprojective to any torsionfree (and flat) module. An RD-projective …
Rings whose RD-flat modules have restricted subflat domains
A module KR is said to be RL-subflat if for every short exact sequence 0→ U→ D→ L→ 0 of
left R-modules, the sequence 0→ K⊗ U→ K⊗ D→ K⊗ L→ 0 is exact. The subflat domains of …
left R-modules, the sequence 0→ K⊗ U→ K⊗ D→ K⊗ L→ 0 is exact. The subflat domains of …
Rings over which every module has a flat\\delta-cover
P AYDOĞDU - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
Let M be a module. A\delta-cover of M is an epimorphism from a module F onto M with
a\delta-small kernel. A\delta-cover is said to be a flat\delta-cover in case F is a flat module. In …
a\delta-small kernel. A\delta-cover is said to be a flat\delta-cover in case F is a flat module. In …
Rad-discrete modules
BN Türkmen, HH Ökten, E Türkmen - Bulletin of the Iranian Mathematical …, 2021 - Springer
We introduce Rad-discrete and quasi-Rad-discrete modules as a proper generalization of
(quasi) discrete modules, and provide various properties of these modules. We prove that a …
(quasi) discrete modules, and provide various properties of these modules. We prove that a …
Strongly D 2 modules and their applications
M Chen, H Kim, F Wang - Journal of Algebra and Its Applications, 2022 - World Scientific
An R-module M is called strongly D 2 if M (n) is a D 2 (equivalently, direct projective) module
for every positive integer n. In this paper, we consider the class of quasi-projective R …
for every positive integer n. In this paper, we consider the class of quasi-projective R …
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 …
paper, we study the notion of RDV-rings which is a non-trivial generalization of V-rings and …
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 …
complexes. We also give some connections between DG-injective complexes and DG-flat …
[PDF][PDF] D-extending modules
Y DURĞUN - Hacettepe Journal of Mathematics and Statistics, 2020 - dergipark.org.tr
D-extending modules Page 1 Hacettepe Journal of Mathematics & Statistics Hacet. J. Math.
Stat. Volume 49 (3) (2020), 914 – 920 DOI : 10.15672/hujms.460241 Research Article D-extending …
Stat. Volume 49 (3) (2020), 914 – 920 DOI : 10.15672/hujms.460241 Research Article D-extending …
Generalizations of⊕-supplemented modules
BN Türkmen, A Pancar - Ukrainian Mathematical Journal, 2013 - Springer
We introduce⊕-radical supplemented modules and strongly⊕-radical supplemented
modules (briefly, srs⊕-modules) as proper generalizations of⊕-supplemented modules. We …
modules (briefly, srs⊕-modules) as proper generalizations of⊕-supplemented modules. We …