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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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Quasi-Injective and Pseudo-Infective Modules [PDF]
Canadian Mathematical Bulletin, 1975 Let R be a ring with identity not equal to zero. A right R-module is said to be quasi-injective (pseudo-injective) if for every submodule N of M, every R-homomorphism (R-monomorphism) of N into M can be extended to an R-endomorphism of M [7] ([13]).
Jain, S. K., Singh, Surjeet
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Weakly Relative Quasi-Injective Modules
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Let R be a commutative ring with unity and let M, N be unitary R-modules. In this research, we give generalizations for the concepts: weakly relative injectivity, relative tightness and weakly injectivity of modules.
L. S Mahmood, A. S. Mijbass, K. S. Kalaf
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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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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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QUASI-INJECTIVE GAMMA MODULES. [PDF]
International Journal of Advanced Research, 2016 MehdiS. Abbas +2 more
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Fully Fuzzy Visible Modules With Other Related Concepts
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 In previous our research, the concepts of visible submodules and fully visible modules were introduced, and then these two concepts were fuzzified to fuzzy visible submodules and fully fuzzy.
Sajda Kadhum Mohammed +1 more
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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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On Finitely Annihilated Modules [PDF]
Kirkuk Journal of Science, 2008 Let R be a commutative ring with identity and M be a unitary R-module. An R-module M is called finitely annihilated if there exists a finitely generated R-submodule N of M such that ann(M)=ann(N).Our main purpose in this work is to study this property in
Ali S. Mijbass +2 more
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Principally Quasi-Injective Semimodules
مجلة بغداد للعلوم, 2019 In this work, the notion of principally quasi- injective semimodule is introduced, discussing the conditions needed to get properties and characterizations similar or related to the case in modules.
Aljebory et al.
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