[PDF][PDF] Some generalizations of second submodules

H Ansari-Toroghy, F Farshadifar - arXiv preprint arXiv:1609.08054, 2016 - arxiv.org
arXiv:1609.08054v1 [math.AC] 26 Sep 2016 Page 1 arXiv:1609.08054v1 [math.AC] 26 Sep
2016 1 SOME GENERALIZATIONS OF SECOND SUBMODULES H. ANSARI-TOROGHY AND …

2-absorbing and strongly 2-absorbing secondary submodules of modules

H Ansari-Toroghy, F Farshadifar - arXiv preprint arXiv:1610.00565, 2016 - arxiv.org
arXiv:1610.00565v1 [math.AC] 3 Oct 2016 Page 1 arXiv:1610.00565v1 [math.AC] 3 Oct 2016 1
2-ABSORBING AND STRONGLY 2-ABSORBING SECONDARY SUBMODULES OF MODULES …

On the second spectrum and the second classical Zariski topology of a module

S Çeken, M Alkan - Journal of Algebra and Its Applications, 2015 - World Scientific
Let R be an associative ring with identity and Specs (M) denote the set of all second
submodules of a right R-module M. In this paper, we investigate some interrelations …

The Zariski topology on the second spectrum of a module (II)

H Ansari-Toroghy, S Keyvani, F Farshadifar - Bulletin of the Malaysian …, 2016 - Springer
Let R be a commutative ring and M an R-module. Let Spec^ s (M) S pecs (M) be the
collection of all second submodules of M. In this article, we consider a new topology on …

[PDF][PDF] On the P-interiors of submodules of Artinian modules

HA Toroghy, F Farshadifar… - Hacettepe Journal of …, 2016 - dergipark.org.tr
On the P-interiors of submodules of Artinian modules Page 1 Hacettepe Journal of
Mathematics and Statistics Volume 45 (3) (2016), 675 – 682 On the P-interiors of submodules …

[PDF][PDF] SURVEY ON COMULTIPLICATION MODULES.

H Ansari-Toroghy, F Farshadifar - Surveys in Mathematics & its Applications, 2019 - emis.de
The concept of comultiplication (as a dual notion of multiplication) modules was introduced
and studied by H. Ansari-Toroghy and F. Farshadifar in 2007. This notion has obtained a …

[PDF][PDF] On the ideal-based zero-divisor graphs

H Ansari-toroghy, F Farshadifar… - … Electronic Journal of …, 2018 - dergipark.org.tr
Let R be a commutative ring. In this paper, we study the annihilatorideal-based zero-divisor
graph by replacing the ideal I of R with the idealAnnR (M) for an R-module M. Also, we …

[PDF][PDF] Finitely generated coreduced comultiplication modules

F Farshadifar - arXiv preprint arXiv:2210.12479, 2022 - arxiv.org
arXiv:2210.12479v1 [math.AC] 22 Oct 2022 Page 1 arXiv:2210.12479v1 [math.AC] 22 Oct 2022
FINITELY GENERATED COREDUCED COMULTIPLICATION MODULES F. FARSHADIFAR …

A new view of retractable modules

HA Jumaa, MM Abed - AIP Conference Proceedings, 2023 - pubs.aip.org
In this paper, we study and present a new result about retractable module. Several notions
are used to obtain more implications like category module, semi-primitive module, non …

Second spectrum of modules and spectral spaces

S Çeken, M Alkan - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
Let R be a commutative ring with identity and Spec^ s (M) Spec s (M) denote the set all
second submodules of an R-module M. In this paper, we investigate various properties of …