Results 1 to 10 of about 709,548 (225)
On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet R be a commutative ring with identity, and let S be a multiplicative subset of R. Then R is called a nonnil-S-Noetherian ring if every nonnil ideal of R is S-finite.
Mahdou Najib +2 more
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A generalization of a theorem of Faith and Menal and applications
International Journal of Mathematics and Mathematical Sciences, 2000 In 1995, Faith and Menal have established the V -ring theorem which gives a characterization of a V-ring. In this paper, we generalize this theorem to V-modules and consider some applications for Noetherian self-cogenerators.
Kentaro Tsuda
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Rigid left Noetherian rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We prove thatany rigid left Noetherian ring is either a domain or isomorphic to some ring of integers modulo a prime power pn.
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On the annihilators of generalized local cohomology modules [PDF]
Journal of Mahani Mathematical ResearchLet ${\frak{a}}$ be an ideal of Noetherian ring $R$ and $M$, $N$ be two finitely generated $R$-modules. In this paper, we obtain some results about the annihilators of top generalized local cohomology modules.
Shahram Rezaei
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Radicals in the class of compact right topological rings
Applied General Topology, 2014 We construct in this article three radicals in the class of compact right topological rings. We prove also that a simple left Noetherian compact right topological ring is finite.
Mihail Ursul, Adela Tripe
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Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal [PDF]
Journal of Mahani Mathematical Research, 2017 Let $f : A rightarrow B$ be a ring homomorphism and $J$ an ideal of $B$. In this paper, we give a necessary and sufficient condition for the amalgamated algebra along an ideal $Abowtie^fJ$ to be $J$-Noetherian.
Esmaeil Rostami
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Noetherian rings of composite generalized power series
Open MathematicsLet A⊆BA\subseteq B be an extension of commutative rings with identity, (S,≤)\left(S,\le ) a nonzero strictly ordered monoid, and S*=S\{0}{S}^{* }\left=S\backslash \left\{0\right\}.
Oh Dong Yeol
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The Relationships between Relatively Cancellation Modules and Certain Types of Modules
مجلة بغداد للعلوم, 2011 Let R be a commutative ring with identity and M be unitary (left) R-module. The principal aim of this paper is to study the relationships between relatively cancellation module and multiplication modules, pure submodules and Noetherian (Artinian) modules.
Baghdad Science Journal
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About j{\mathscr{j}}-Noetherian rings
Open MathematicsLet RR be a commutative ring with identity and j{\mathscr{j}} an ideal of RR. An ideal II of RR is said to be a j{\mathscr{j}}-ideal if I⊈jI\hspace{0.33em} \nsubseteq \hspace{0.33em}{\mathscr{j}}.
Alhazmy Khaled +3 more
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On zero divisor graph of unique product monoid rings over Noetherian reversible ring [PDF]
Categories and General Algebraic Structures with Applications, 2016 Let $R$ be an associative ring with identity and $Z^*(R)$ be its set of non-zero zero divisors. The zero-divisor graph of $R$, denoted by $Gamma(R)$, is the graph whose vertices are the non-zero zero-divisors of $R$, and two distinct vertices $r$ and $
Ebrahim Hashemi +2 more
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