Results 1 to 10 of about 28 (26)
Modules with Copure Intersection Property
پژوهشهای ریاضی, 2020 Paper pages (271-276) Introduction Throughout this paper, will denote a commutative ring with identity and will denote the ring of integers. Let be an -module. A submodule of is said to be pure if for every ideal of . has the copure sum property
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Weakly Pure and Weakly Copure Submodule of Multiplication Modules
International Journal of Innovative Research in Science, Engineering and Technology, 2014 In this paper we introduce weakly copure submodule of multiplication module which is dual notion of weakly pure submodule of multiplication module and investigate some properties of weakly pure and copure submodule of multiplication ...
ARVIND KUMAR SINHA, BISWAJIT BARIK
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Survey on comultiplication modules [PDF]
Surveys in Mathematics and its Applications, 2019 The concept of comultiplication (as a dual notion of multiplication) modules was introduced and studied by H. Ansari-Toroghy and F. Farshadifar in 2007. This notion has obtained a great attention by many authors and now there is a considerable amount of ...
Habibollah Ansari-Toroghy +1 more
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Copure and 2-absorbing copure submodules
Le Matematiche, 2018 Let \(R\) be a commutative ring. Recall that a submodule \(N\) of an \(R\)-module \(M\) is said to be pure if \(IN = N \cap IM\), for every ideal \(I\) of \(R\). In [``Strong comultiplication modules'', CMU. J. Nat. Sci. 8, No. 1, 105--114 (2009)], \textit{H. Ansari-Toroghy} and the author introduced a ``dual'' notion of a pure submodule, called copure
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Some of the next articles are maybe not open access.
Acta Mathematica Hungarica, 1984
A short exact sequence 0\(\to A\to B\to C\to 0\) of (right unitary) R- modules is said to be copure if every cofinitely related R-module is injective with respect to this sequence. The first part of the paper studies some properties of copure exact sequences. In the second part the relations between copure and pure (in the sense of P. M.
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A short exact sequence 0\(\to A\to B\to C\to 0\) of (right unitary) R- modules is said to be copure if every cofinitely related R-module is injective with respect to this sequence. The first part of the paper studies some properties of copure exact sequences. In the second part the relations between copure and pure (in the sense of P. M.
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Canadian Mathematical Bulletin, 2016
Abstract All rings are commutative with identity, and all modules are unital. In this paper we introduce the concept of a quasi-copure submodule of a multiplication R-module M and will give some results about it. We give some properties of the tensor product of ûnitely generated faithful multiplication modules.
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Abstract All rings are commutative with identity, and all modules are unital. In this paper we introduce the concept of a quasi-copure submodule of a multiplication R-module M and will give some results about it. We give some properties of the tensor product of ûnitely generated faithful multiplication modules.
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Copure Submodules and Related Results
2019LetM be a module over a commutative ring R with identity. Asubmodule K of M is copure provided that (K :M I) = K + (0 :M I) foreach ideal I of R. In this paper, we investigate some resultsabout copure submodules of M.
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n-copure submodules of modules
2018Let $R$ be a commutative ring, $M$ an $R$-module, and n>=1 an integer. In this paper, we will introduce the concept of n-copure submodules of $M$ as a generalization of copure submodules and obtain some related results.
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