Results 1 to 10 of about 443,027 (142)
Open Mathematics, 2016 In this article we introduce and study the concept of α-almost Artinian modules. We show that each α-almost Artinian module M is almost Artinian (i.e., every proper homomorphic image of M is Artinian), where α ∈ {0,1}.
Davoudian Maryam +2 more
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Modules With Artinian Prime Factors [PDF]
Proceedings of the American Mathematical Society, 1980 An R -module M has Artinian prime factors if M /
Efraim P. Armendariz
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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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Locally Artinian Supplemented Modules [PDF]
, 2020 In this paper, we introduce notions of RLA-local modules and locally artinian supplemented modules which are proper generalizations as notions of strongly local modules and ss-supplemented modules, respectively and we study some properties of these module. In particular, we give a characterization of semi perfect rings and left perfect rings.
BURCU TURKMEN, Yavuz Şahin
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On minimal artinian modules and minimal artinian linear groups
International Journal of Mathematics and Mathematical Sciences, 2001 The paper is devoted to the study of some important types of minimal artinian linear groups. The authors prove that in such classes of groups as hypercentral groups (so also, nilpotent and abelian groups) and FC-groups, minimal artinian linear groups ...
Leonid A. Kurdachenko, Igor Ya. Subbotin
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Notes on reduced, artinian and multiplication modules [PDF]
Journal of Hyperstructures, 2014 Let M be a unitary module over a commutative ring R with identity. In this paper we consider the concepts of Artinian, semi-Artinian, reduced and multiplication modules . Also we call an R-module M radical, if it has no maximal submodule.
Jafar A’zami, Mahdieh Savaedi
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Artinian and Non-Artinian Local Cohomology Modules [PDF]
Canadian Mathematical Bulletin, 2011 AbstractLet M be a finite module over a commutative noetherian ring R. For ideals a and b of R, the relations between cohomological dimensions of M with respect to a, b, a ⋂ b and a + b are studied. When R is local, it is shown that M is generalized Cohen–Macaulay if there exists an ideal a such that all local cohomology modules of M with respect to a ...
Dibaei, Mohammad T., Vahidi, Alireza
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SOME RESULTS ON THE ARTINIAN COFINITE MODULES [PDF]
Journal of Algebraic Systems, 2023 Let $I$ be an ideal of a commutative Noetherian ring $R$ and $M$ be a non-zero Artinian $R$-module with support contained in $V(I)$. In this paper it is shown that $M$ is $I$-cofinite if and only if $Rad(I\widehat{R}^J+Ann_{\widehat{R}^J}M)=J\widehat{R ...
Gholamreza Pirmohammadi
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Krull-Schmidt Fails for Artinian Modules [PDF]
Proceedings of the American Mathematical Society, 1995 Krull asked in 1932 whether the Krull-Schmidt theorem holds for Artinian modules, i.e. whether \(M_1\oplus\dots\oplus M_m\cong N_1\oplus\dots\oplus N_n\) with each \(M_i\) and \(N_j\) indecomposable Artinian right \(R\)-modules, for some given ring \(R\), implies that \(m=n\) and \(M_i\cong N_{\sigma(i)}\) for some permutation \(\sigma\) of \(\{1,\dots,
Alberto Facchini +2 more
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International Electronic Journal of AlgebraIn this paper, we introduce and study Artinian* modules as a generalization of Artinian modules. We transfer several results of Artinian modules to Artinian* modules. We also provide several characterizations of this new class of modules. Furthermore, we investigate the existence of secondary representation for Artinian* modules over commutative ...
Hwankoo Kim, Unsal Tekir
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