Results 11 to 20 of about 607,054 (303)

Generalizations of principally quasi-injective modules and quasiprincipally injective modules [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
Let R be a ring and M a right R-module with S=End(MR). The module M is called almost principally quasi-injective (or APQ-injective for short) if, for any m∈M, there exists an S-submodule Xm of M such that lMrR(m)=Sm⊕Xm.
Zhu Zhanmin, Xia Zhangsheng, Tan Zhisong
doaj   +5 more sources

On injective L-modules [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
The concepts of free modules, projective modules, injective modules, and the like form an important area in module theory. The notion of free fuzzy modules was introduced by Muganda as an extension of free modules in the fuzzy context.
Paul Isaac
doaj   +5 more sources

AGQP-Injective Modules [PDF]

International Journal of Mathematics and Mathematical Sciences, 2008
Let 𝑅 be a ring and let 𝑀 be a right 𝑅-module with 𝑆 = End(𝑀𝑅). 𝑀 is called almost general quasi-principally injective (or AGQP-injective for short) if, for any 0≠𝑠∈𝑆, there exist a positive integer 𝑛 and a left ideal 𝑋𝑠𝑛 of 𝑆 such that 𝑠𝑛≠0 and 𝐥𝑆(Ker ...
Zhanmin Zhu, Xiaoxiang Zhang
doaj   +5 more sources

On Q-Injective, Duo Submodules of C1-Module [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2021
This note investigates modules having quasi-injective and duo submodules. We introduce a new generalization of C_1-module. The main method that was adopted in this generalization is how to obtain a submodule N in M having the characteristic Quasi ...
Abdulsalam F. Talak, Majid Abed
doaj   +3 more sources

New Class of S-Pseudo Bounded Modules With Some Related Concepts [version 3; peer review: 2 approved, 3 approved with reservations, 1 not approved] [PDF]

F1000Research
In the present study , every module M is unitary and every ring F is commutative with identity. We gave a definition of a new class F − module which is namely S-pseudo bounded module symbolically (S-PS.B.
Amal Madhi Rashid, Buthyna Najad Shihab
doaj   +2 more sources

Some Results on AWN-injective Rings [PDF]

NTU Journal of Pure Sciences
A concept of AWN-injective ring is defined by [1], that is, for any   there exists  and an Y-sub module  of  (  is aright -module) such that  and  as left S-module with S=End(u ). If  is AWN-injective module, then we call  aright AWN-injective ring.
Hazim Talat Hazim, Shaimaa Ahmad , Raida Mahmood   +2 more
doaj   +2 more sources

Pure Baer injective modules [PDF]

International Journal of Mathematics and Mathematical Sciences, 1997
In this paper we generalize the notion of pure injectivity of modules by introducing what we call a pure Baer injective module. Some properties and some characterization of such modules are established.
Nada M. Al Thani
doaj   +2 more sources

Some Properties of Strongly Principally Self-Injective Modules [PDF]

Journal of Applied Sciences and Nanotechnology, 2022
The idea of generalizing quasi injective by employing a new term is introduced in this paper. The introduction of principally self-injective modules, which are principally self-injective modules.
Khalid Munshid, Mohanad Hamid, Jehad Kider   +2 more
doaj   +1 more source

Injective Schur modules [PDF]

Journal of Algebra, 2017
19 pages, to appear in Journal of ...
Donkin, Stephen, Geranios, Haralampos
openaire   +4 more sources

On GP-InjectivityWith Some Types of Rings [PDF]

مجلة التربية والعلم, 2007
The purpose of this paper is to study GP-injective modules and give some of it is properties. Also, we proved: (1) If every simple right R-module is GP-injective, and R is reversible ring, then R is a right weakly -regular.
Abdullah M. Abdul-Jabbar, Raida D. Mahmood   +1 more
doaj   +1 more source