Results 1 to 10 of about 579,890 (297)
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 Let 𝑅 be a commutative ring with identity, 𝑀 an 𝑅-module and 𝐸 a torsion-free 𝑅-module. A submodule 𝑁 of 𝑀 is said to be essential (large) in 𝑀 if the intersection of 𝑁 with each nonzero submodule of 𝑀 is nonzero, that is, 𝑁 ∩ 𝑅𝑚 ≠ 0 for any nonzero ...
Osama Naji, Abuzer Gündüz
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On the joint continuity of module multiplication [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 Let A be any topological algebra over R or C. We show that the property of a topological left (right or two-sided) A-module to have a jointly continuous action of A is inherited by submodules, quotient modules, completion, direct products, direct sums ...
Mart Abel
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Localizations of injective modules [PDF]
Proceedings of the Edinburgh Mathematical Society, 1985 The question of whether an injective module E over a noncommutative noetherian ring R remains injective after localization with respect to a denominator set X⊆R is addressed. (For a commutative noetherian ring, the answer is well-known to be positive.) Injectivity of the localization E[X-1] is obtained provided either R is fully bounded (a result of K.
Goodearl, Kenneth R., Jordan, D. A.
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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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Torsionfree injective modules [PDF]
Pacific Journal of Mathematics, 1969 Abstract not ...
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Journal of Mathematics, 2022 In this paper, we investigate the notions of X⊥-projective, X-injective, and X-flat modules and give some characterizations of these modules, where X is a class of left modules. We prove that the class of all X⊥-projective modules is Kaplansky.
Arunachalam Umamaheswaran +4 more
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Results in Injective Envelope and Indecomposable Injective Modules
پژوهشهای ریاضی, 2021 Introduction Throughout this paper, is a commutative ring with non-zero identity and is an -module. The study of injective modules is very important in commutative algebra and homological Algebra.
Masoumeh Hasanzad +2 more
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Glasgow Mathematical Journal, 2010 AbstractSince Azumaya introduced the notion of A-injectivity in 1974, several generalizations have been investigated by a number of authors. We introduce some more generalizations and discuss their connection to the previous ones.
KESKİN TÜTÜNCÜ, DERYA +2 more
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ON THE PROJECTIVE DIMENSION OF ARTINIAN MODULES [PDF]
Journal of Algebraic Systems, 2021 Let $(R, \mathfrak{m})$ be a Noetherian local ring and $M$, $N$ be two finitely generated $R$-modules. In this paper it is shown that $R$ is a Cohen-Macaulay ring if and only if $R$ admits a non-zero Artinian $R$-module $A$ of finite projective dimension;
Y. Irani, K. Bahmanpour, Gh. Ghasemi
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Idempotent Reflexive rings whose every simle singular right module are yj-injective [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper we study rightidempotent reflexive ring whose simple singular right R-module isYJ-injective, we prove that this type of ring is right weakly regular ring, we show that if R is N duo or NCI ring and R is right idempotent reflexive ring ...
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