Results 71 to 80 of about 121 (115)
de Rham cohomology of local cohomology modules: The graded case [PDF]
Nagoya Mathematical Journal, 2015 Abstract Let K be a field of characteristic zero, and let R = K [ X 1 ,… ,X n ].
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Generalized Local Homology Modules of Complexes
پژوهشهای ریاضی, 2017 The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using ...
Fatemeh Mohammadi
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On the annihilation of local cohomology modules
Kyoto Journal of Mathematics, 2006 Let $R$ be a (not necessary finite dimensional) commutative noetherian ring and let $C$ be a semi-dualizing module over $R$. There is a generalized Gorenstein dimension with respect to $C$, namely $\mathrm{G}_{C}$-dimension, sharing the nice properties of Auslander’s Gorenstein dimension.
Asadollahi, Javad, Salarian, Shokrollah
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Cofinite modules and local cohomology
Journal of Pure and Applied Algebra, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Delfino, Donatella, Marley, Thomas
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Gorenstein Injective Dimension and Cohen-Macaulayness
پژوهشهای ریاضی, 2019 Throughout this paper, (R, m) is a commutative Noetherian local ring with the maximal ideal m. The following conjecture proposed by Bass [1], has been proved by Peskin and Szpiro [2] for almost all rings: (B) If R admits a finitely generated R ...
Reza Sazeedeh, fatemeh Savoji
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On the Local Cohomology Modules Defined by a Pair of Ideals and Serre Subcategory
Journal of Mathematical Extension, 2013 This paper is concerned with the relation between local cohomology modules defined by a pair of ideals and Serre classes of R-modules. Let R be a commutative Noetherian ring, I , J be two ideals of R and M be an R-module. Let a ∈ W˜ (I, J) and t ∈ N0
Kh. Ahmadi-Amoli∗, M. Y. Sadeghi
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de Rham Cohomology of Local Cohomology Modules
, 2016 Let K be a field of characteristic zero and let \(\mathcal {O}_n\) be the ring \(K[[X_1,\ldots ,X_n]]\). Let \(\mathcal {D}_n = \mathcal {O}_n[\partial _1,\ldots ,\partial _n]\) be the ring of K-linear differential operators on \(\mathcal {O}_n\). Let M be a holonomic \(\mathcal {D}_n\)-module. In this paper we prove \(H^i({\partial }, M) = 0\) for \(i
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On some local cohomology modules
Advances in Mathematics, 2007 Let R be a commutative Noetherian d-dimensional complete equicharacterisitc regular local ring and let I be an ideal of R such that every minimal prime over I has height at most c. Let v=d - [(d-2)/c]-1 and v'=d - [(d-1)/c]. It has been known that the i-th local cohomology module of any R-module M with support in I vanishes for i>v', and if I is ...
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Asymptotic behaviour of graded components of local cohomology modules
پژوهشهای ریاضی, 2022 Maryam Jahangiri, Azadeh Nad Ali
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