Results 41 to 50 of about 600,300 (198)
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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BILINEAR MAPS ON ARTINIAN MODULES [PDF]
Journal of Algebra and Its Applications, 2012 It is shown that if a bilinear map f : A × B → C of modules over a commutative ring k is nondegenerate (i.e. if no nonzero element of A annihilates all of B, and vice versa), and A and B are Artinian, then A and B are of finite length. Some consequences are noted.
openaire +5 more sources
ON THE MINIMAXNESS AND ARTINIANNESS DIMENSIONS [PDF]
Journal of Algebraic SystemsLet R be a commutative Noetherian ring, I, J be ideals of R such thatJ ⊆ I, and M be a finitely generated R-module. In this paper, we prove that theinvariants AJI(M) := inf{i ∈ N0 | JtHiI (M) is not Artinian for all t ∈ N0} and inf{i ∈N0 | JtHiI (M) is ...
Jafar Azami, Mohammad Reza Doustimehr
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Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1986 For an ideal I of a commutative Noetherian ring R and Artinian R-module A, the author defines the I-codepth of A to be the I-dimension of A, as defined by \textit{E. Matlis} [Trans. Am. Math. Soc. 97, 495-508 (1961; Zbl 0094.252)]. The author shows that it can be characterized by vanishing of certain Ext-groups and obtains some basic inequalities for ...
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FINITENESS PROPERTIES OF FORMAL LOCAL HOMOLOGY MODULES [PDF]
Romanian Journal of Mathematics and Computer Science, 2015 Let (R, m) be a commutative Noetherian ring, a an ideal of R and M an Artinian R-module. In this paper, we investigate the structure of the formal local homology. We prove several results concerning finiteness properties of formal local homology module.
M. H. BIJAN-ZADEH,, S. GHADERI
doaj
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
doaj
, 2023 This paper consists of several new results about Length property of the module M. F-length of any Module comes from several concepts like Neotherian module and Artinian modules (Neo and Art) with comp- sition series.
Radwan, Mohammed Sabah +2 more
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Characterizing $S$-Artinianness by uniformity [PDF]
, 2023 Let $R$ be a commutative ring with identity and $S$ a multiplicative subset of $R$. An $R$-module $M$ is said to be a uniformly $S$-Artinian ($u$-$S$-Artinian for abbreviation) module if there is $s\in S$ such that any descending chain of submodules of ...
Zhang, Xiaolei, Qi, Wei
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The Boolean spectrum of a Grothendieck category
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract A notion of support for objects in any Grothendieck category is introduced. This is based on the spectral category of a Grothendieck category and uses its Boolean lattice of localising subcategories. The support provides a classification of all subcategories that are closed under arbitrary coproducts, subobjects, and essential extensions ...
Henning Krause
wiley +1 more source
A Study of Noetherian and Artinian (R,S)-Modules [PDF]
As science develops, a module has been generalized to a new algebraic structure called -module. Some of the concepts in the module can also be extended into the -module structure. The concepts related to the Noetherian module and the Artinian module have
Yanti, Gusti Ayu Dwi +4 more
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