Search Results - "Esmkhani, Mohammad Ali"
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Duality for a Cohen-Macaulay Local Ring
Published in Communications in algebra (14-06-2010)“…Let (R, ) be a Cohen-Macaulay local ring. If R has a canonical module, then there are some interesting results about duality for this situation. In this…”
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Two characterizations of pure injective modules
Published in Proceedings of the American Mathematical Society (01-10-2006)“…Let R be a commutative ring with identity and D an R-module. It is shown that if D is pure injective, then D is isomorphic to a direct summand of the direct…”
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3
Gorenstein homological dimensions and Auslander categories
Published in Journal of algebra (01-02-2007)“…In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R. For an R-module M, we show that Gorenstein projective dimension of M…”
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Gorenstein injective modules and Auslander categories
Published in Archiv der Mathematik (01-08-2007)Get full text
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Some criteria of cyclically pure injective modules
Published in Journal of algebra (01-10-2006)“…The structure of cyclically pure injective modules over a commutative ring R is investigated and several characterizations for them are presented. In…”
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6
ARTINIANNESS OF LOCAL COHOMOLOGY MODULES OF ZD-MODULES
Published in Communications in algebra (01-07-2005)“…This article centers around artinianness of the local cohomology of ZD-modules. Let a he an ideal of a commutative Noetherian ring R. The notion of a-relative…”
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7
Associated Prime Submodules of Finitely Generated Modules
Published in Communications in algebra (01-10-2005)“…Let R be a commutative ring with identity. For a finitely generated R-module M, the notion of associated prime submodules of M is defined. It is shown that…”
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8
Duality for a Cohen-Macaulay local ring
Published 24-09-2008“…Let $(R,\fm)$ be a Cohen-Macaulay local ring. If $R$ has a canonical module, then there are some interesting results about duality for this situation. In this…”
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9
Gorenstein homological dimensions and Auslander categories
Published 24-11-2005“…In this paper, we study Gorenstein injective, projective, and flat modules over a Noetherian ring $R$. For an $R$-module $M$, we denote by ${\rm Gpd}_RM$ and…”
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10
Artinianness of local cohomology modules of ZD-modules
Published 30-12-2004“…This paper centers around Artinianness of the local cohomology of $ZD$-modules. Let $\fa$ be an ideal of a commutative Noetherian ring $R$. The notion of…”
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11
Associated prime submodules of finitely generated modules
Published 28-07-2004“…Let $R$ be a commutative ring with identity. For a finitely generated $R$-module $M$, the notion of associated prime submodules of $M$ is defined. It is shown…”
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12
A criterion for rings which are locally valuation
Published 13-02-2007“…Using the notion of cyclically pure injective modules, a characterization for rings which are locally valuation is established. As applications, new…”
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13
Some criteria of cyclically pure injective modules
Published 20-10-2005“…The structure of cyclically pure injective modules over a commutative ring $R$ is investigated and several characterizations for them are presented. In…”
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