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 …

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 …

广义τ⁃奇异模和τ⁃非奇异模* Page 1 第42 卷第2 期 2021 年4 月 首都师范大学学报(自然科学版)
Journal of Capital Normal University(Natural Science Edition) No.2 Apr.,2021 广义τ⁃奇异模和 …

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 …

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 …

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 …