Results 11 to 20 of about 104 (95)
On the properties of weak CM rings
上海师范大学学报. 自然科学版, 2022 In this paper, we mainly study the properties of weak CM rings. It is a special class of Noetherian commutative rings, including Cohen-Macaulay rings, excellent rings and generalized Cohen-Macaulay rings, which can be characterized by local cohomology ...
XUE Wensi, ZHOU Caijun
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GENERALIZED LOCAL COHOMOLOGY AND THE INTERSECTION THEOREM [PDF]
Communications in Algebra, 2005 Let $R$ be commutative Noetherian ring and let $\fa$ be an ideal of $R$. For complexes $X$ and $Y$ of $R$--modules we investigate the invariant $\inf{\mathbf R}Γ_{\fa}({\mathbf R}\Hom_R(X,Y))$ in certain cases. It is shown that, for bounded complexes $X$ and $Y$ with finite homology, $\dim Y\le\dim{\mathbf R}\Hom_R(X,Y)\le\pd X+\dim(X\otimes^{\mathbf L}
Dibaei, Mohammad T., Yassemi, Siamak
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UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES [PDF]
Journal of Algebraic Systems, 2013 Let $R$ be a commutative Noetherian ring with non-zero identity and $fa$ an ideal of $R$. Let $M$ be a finite $R$--module of finite projective dimension and $N$ an arbitrary finite $R$--module.
Moharram Aghapournahr
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Stability and Hamiltonian BRST-invariant deformations in Podolsky's generalized electrodynamics
Nuclear Physics B, 2021 We study the problem of stability in Podolsky's generalized electrodynamics by constructing a series of 2-parametric bounded conserved quantities. In this way, we show that the 00-component of the energy-momentum tensors could be positive definite and ...
Jialiang Dai
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Vanishing and Artinianness of Graded Generalized Local Cohomology
Ukrainian Mathematical Journal, 2020 UDC 512.5 Let be a homogeneous Noetherian ring with semilocal base ring Let be the irrelevant ideal of For two finitely generated graded -modules and several results on the vanishing, Artiniannes and tameness property of the graded -modules will be investigated.
Azari, A., Khojali, A., Zamani, N.
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A generalization of the finiteness problem of the local cohomology modules [PDF]
Czechoslovak Mathematical Journal, 2014 This paper is in the series of works which study the finiteness of the associated prime of local cohomology modules \(H^i_{\mathfrak {a}}(M)\), where \(\mathfrak {a}\) is an ideal of a commutative Noetherian ring \(R\) and \(M\) is an \(R\)-module. In general Ass\((H^i_{\mathfrak {a}}(M))\) is not finite for any \(i\), \(\mathfrak {a}\) and \(M\), e.g.
Abbasi, Ahmad +1 more
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Extension functors of generalized local cohomology modules and Serre subcategories
پژوهشهای ریاضی, 2022 In this paper we present several results concerning the cofiniteness of generalized local cohomology modules.
Kamal Bahmanpour
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ON VANISHING OF GENERALIZED LOCAL HOMOLOGY MODULES AND ITS DUALITY [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper we study the vanishing and non-vanishing of generalized local cohomology and generalized local homology. In particular for a Noetherian local ring (R;m) and two non-zero finitely generated R-modules M and N, it is shown that H_m^{dimN} (M ...
KARIM MOSLEHI, MOHAMMAD R. AHMADI
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A generalized local cohomology theory
Pesquimat, 2021 En este trabajo introducimos ciertos funtores de cohomología local que generalizan los estudiados en [9]. Demostramos que sus módulos de cohomología local pueden ser obtenidos como los módulos de cohomología de un complejo de Cech generalizado. También proponemos una noción de homología local.
Caro Tuesta, Napoleón +2 more
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On Shifted Principles of Generalized Local Cohomology Modules
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Freitas, Thiago Henrique +1 more
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