An investigation into the module theory of multiplicative subsets
F Al-Sharqi, MM Abed, RK Manfe - AIP Conference Proceedings, 2023 - pubs.aip.org
If R is a commutative ring containing an identity element. Multiplicative subset 𝑆in 𝑅 (Mult-
(S− 1R)), means if 1∈ S and ab∈ S for all a, b∈ S. In this article, we characterize some …
(S− 1R)), means if 1∈ S and ab∈ S for all a, b∈ S. In this article, we characterize some …
Study singular and essential properties over C-ring
SE Sarhan, MM Abed - AIP Conference Proceedings, 2023 - pubs.aip.org
In this paper, we introduce some new results about the relationship between two concepts
namely singular and essential and c-ring. We prove that if any module 𝑊 is a direct sum of …
namely singular and essential and c-ring. We prove that if any module 𝑊 is a direct sum of …
[PDF][PDF] δ-Small submodule and Lifting property
BA Salih, MM Abed - Journal of Al-Qadisiyah for computer science and …, 2023 - iasj.net
In this paper, T is a commutative ring with identity. We were interested in providing A new
conclusion about 𝛿-small submodule by clarifying the connection between the lifting module …
conclusion about 𝛿-small submodule by clarifying the connection between the lifting module …
[PDF][PDF] A generalization of M-small modules
B Talaee - Journal of Sciences, Islamic Republic of Iran, 2015 - jsciences.ut.ac.ir
In this paper we introduce a generalization of M-small modules and discuss about the
torsion theory cogenerated by this kind of modules in category. We will use the structure of …
torsion theory cogenerated by this kind of modules in category. We will use the structure of …
[PDF][PDF] Skew Injective Modules Relative to Torsion Theories
The purpose of this paper is to extend results about skew injective modules to a torsion
theoretic setting. Given a hereditary torsion theory 𝜏, a module 𝑀 is called 𝜏-skew injective if …
theoretic setting. Given a hereditary torsion theory 𝜏, a module 𝑀 is called 𝜏-skew injective if …