[HTML][HTML] Rings in which every ideal is pure-projective or FP-projective
A Moradzadeh-Dehkordi, SH Shojaee - Journal of Algebra, 2017 - Elsevier
A ring R is said to be left pure-hereditary (resp. RD-hereditary) if every left ideal of R is pure-
projective (resp. RD-projective). In this paper, some properties and examples of these rings …
projective (resp. RD-projective). In this paper, some properties and examples of these rings …
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 …
Sa-supplement submodules
Y Durgun - Bulletin of the Korean Mathematical Society, 2021 - koreascience.kr
In this paper, we introduced and studied sa-supplement submodules. A submodule U of a
module V is called an sa-supplement submodule in V if there exists a submodule T of V such …
module V is called an sa-supplement submodule in V if there exists a submodule T of V such …
Homological objects of min-pure exact sequences
Y Alagöz, A Moradzadeh-Dehkordi - Hacettepe Journal of …, 2023 - dergipark.org.tr
In a recent paper, Mao has studied min-pure injective modules to investigate the existence
of mininjective covers. A min-pure injective module is one that is injective relative only to min …
of mininjective covers. A min-pure injective module is one that is injective relative only to min …
Singly injective modules
A Moradzadeh-Dehkordi, SH Shojaee - Journal of Algebra and Its …, 2019 - World Scientific
A left R-module M is said to be left singly injective if Ext R 1 (F/K, M)= 0 for any cyclic
submodule K of any finitely generated free left R-module F. In this paper, we study the notion …
submodule K of any finitely generated free left R-module F. In this paper, we study the notion …
On Singly Flat and Singly Injective Modules
Y Alagöz - Bulletin of the Iranian Mathematical Society, 2021 - Springer
Recall that a left module A (resp. right module B) is said to be singly injective (resp. singly
flat) if Ext^ 1 _ R (F/K, A)= 0 E xt R 1 (F/K, A)= 0 (resp. Tor _ 1^ R (B, F/K)= 0 Tor 1 R (B, F/K) …
flat) if Ext^ 1 _ R (F/K, A)= 0 E xt R 1 (F/K, A)= 0 (resp. Tor _ 1^ R (B, F/K)= 0 Tor 1 R (B, F/K) …
[PDF][PDF] Modules with Respect to Min-purity
Y Alagoz, A Moradzadeh-Dehkordi - Studies on Scientific …, 2022 - researchgate.net
Min-injective rings and min-injective modules has a substantial role in module-ring theory
and representations of algebras. Numerous characterizations of Quasi-Frobenius rings were …
and representations of algebras. Numerous characterizations of Quasi-Frobenius rings were …
[PDF][PDF] {\it RD}-injectivity of tensor products of modules
A Moradzadeh-Dehkordi, A Zaghian - Colloquium Mathematicum, 2016 - researchgate.net
A classical question due to Yoneda is,“When is the tensor product of any two injective
modules injective?” Enochs and Jenda gave a complete and explicit answer to this question …
modules injective?” Enochs and Jenda gave a complete and explicit answer to this question …