Results 91 to 100 of about 30,075 (226)
Journal of Algebra, 1974 AbstractGiven an Hereditary Noetherian ring, its finitely generated torsion modules are subject to a specified contravariant duality functor, interchanging left and right modules. This duality yields among others many of the well-known results for these rings. For instance, when applied to the ring of integers one recover the structure of the injective
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Left Noetherian rings with differentially trivial proper quotient rings
Karpatsʹkì Matematičnì Publìkacìï, 2012 We characterize left Noetherian rings with differentially trivial proper quotient rings.
O. D. Artemovych
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Noetherian properties in composite generalized power series rings
Open Mathematics, 2020 Let (Γ,≤)({\mathrm{\Gamma}},\le ) be a strictly ordered monoid, and let Γ⁎=Γ\{0}{{\mathrm{\Gamma}}}^{\ast }\left={\mathrm{\Gamma}}\backslash \{0\}. Let D⊆ED\subseteq E be an extension of commutative rings with identity, and let I be a nonzero proper ...
Lim Jung Wook, Oh Dong Yeol
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VIC-modules over noncommutative rings
, 2020 For a finite ring $R$, not necessarily commutative, we prove that the category of $\text{VIC}(R)$-modules over a left Noetherian ring $\mathbf{k}$ is locally Noetherian, generalizing a theorem of the authors that dealt with commutative $R$.
Putman, Andrew, Sam, Steven V
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Duality in Noetherian rings [PDF]
Proceedings of the American Mathematical Society, 1961 Since we shall make such heavy use of this theorem and the techniques used in its proof, we shall now make the standing assumptions that every ring we consider will be both right and left Noetherian and that every module will be finitely generated. The notation and terminology will follow that of Cartan and Eilenberg [2] although we shall usually drop ...
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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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Epis and monos which must be isos
International Journal of Mathematics and Mathematical Sciences, 1984 Orzech [1] has shown that every surjective endomorphism of a noetherian module is an isomorphism. Here we prove analogous results for injective endomorphisms of noetherian injective modules, and the duals of these results.
David J. Fieldhouse
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Moduli spaces of compact RCD(0,N)-structures. [PDF]
Math Ann, 2023 Mondino A, Navarro D.
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