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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
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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
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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
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Coneat Injective Modules [PDF]
Missouri Journal of Mathematical Sciences, 2019 A module is called coneat injective if it is injective with respect to all coneat exact sequences. The class of such modues is enveloping and falls properly between injectives and pure injectives. Generalizations of coneat injectivity, like relative coneat injectivity and full invariance of a module in its coneat injective envelope, are studied.
Mohanad Farhan Hamid
exaly +5 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]
F1000ResearchIn 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
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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
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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 +2 more
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Journal of Algebra, 2017 19 pages, to appear in Journal of ...
Donkin, Stephen, Geranios, Haralampos
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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 +1 more
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Covers and Envelopes by Submodules or Quotient-Modules
Journal of Mathematics, 2023 Let R be a ring, X a class of left R-modules, S the class of submodules of X, and Q the class of quotient-modules of X. It is shown that SQ is precovering (preenveloping) if and only if every injective (projective) left R-module has an X-precover (X ...
Yuedi Zeng
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