Results 51 to 60 of about 5,350,013 (268)
Artinianness of formal local cohomology modules [PDF]
, 2019 summary:Let ${\frak{a}}$ be an ideal of Noetherian local ring $(R,{\frak{m}})$ and $M$ a finitely generated $R$-module of dimension $d$. In this paper we investigate the Artinianness of formal local cohomology modules under certain conditions on the ...
Rezaei, Shahram
core +1 more source
Extension Functors of Generalized Local Cohomology Modules
پژوهشهای ریاضی, 2021 Introduction Throughout this paper, is a commutative Noetherian ring with non-zero identity, is an ideal of , is a finitely generated -module, and is an arbitrary -module which is not necessarily finitely generated.
Alireza Vahidi +2 more
doaj
Nilpotence of Frobenius action and the Hodge filtration on local cohomology [PDF]
, 2015 An $F$-nilpotent local ring is a local ring $(R, \mathfrak{m})$ of prime characteristic defined by the nilpotence of the Frobenius action on its local cohomology modules $H^i_{\mathfrak{m}}(R)$.
V. Srinivas, S. Takagi
semanticscholar +1 more source
Chern character for totally disconnected groups [PDF]
, 2009 In this paper we construct a bivariant Chern character for the equivariant $ KK $-theory of a totally disconnected group with values in bivariant equivariant cohomology in the sense of Baum and Schneider.
Voigt, C., Christian Voigt
core +1 more source
Co-Cohen-Macaulay Modules and Local Cohomology
Journal of Mathematics, 2013 Let be a commutative Noetherian local ring and let be a finitely generated -module of dimension . Then the following statements hold: (a) if width for all with , then is co-Cohen-Macaulay of Noetherian dimension ; (b) if is an unmixed -module and ...
Hero Saremi, Amir Mafi
doaj +1 more source
On the cohomological dimension of the localization functor [PDF]
Proceedings of the American Mathematical Society, 1990 The localization functor of the title is defined by \(\Delta_{\lambda}(V)={\mathcal D}_{\lambda}\otimes_{{\mathcal U}_{\lambda}}V\), where \(\lambda\) is an element of the dual of a fixed Cartan subalgebra of a complex semisimple Lie algebra \({\mathfrak g}\), \({\mathcal U}_{\lambda}\) the quotient of the enveloping algebra of \({\mathfrak g}\) by the
Hecht, Henryk, Miličić, Dragan
openaire +1 more source
Socle finiteness of the local cohomology
Rocky Mountain Journal of Mathematics, 2011 Let \(R\) be a commutative local noetherian ring. Finiteness properties of local cohomology modules over \(R\) are among the basic topics of local cohomology theory. One of the main question is as follows ``Let \(I\) be an ideal of \(R\). Is the socle of \(H^n_I(R)\) finitely generated?'' A positive answer to this question for all regular local ring ...
Trlifaj, Jan, Kosan, M. Tamer
openaire +4 more sources
A finiteness result for associated primes of local cohomology modules [PDF]
, 2000 We show that the first non-finitely generated local cohomology module Hi a (M ) of a finitely generated module M over a noetherian ring R with respect to an ideal a ⊆ R has only finitely many associated ...
Faghani, A +3 more
core +1 more source
International Journal of Mathematics and Mathematical Sciences, 2006 We discuss the calculation of integral cohomology ring of LG/T and ΩG. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and calculate the cohomology ring structures
Cenap Özel, Erol Yilmaz
doaj +1 more source
Cohomology of Homotopy Colimits of Simplicial Sets and Small Categories
Mathematics, 2020 This paper deals with well-known weak homotopy equivalences that relate homotopy colimits of small categories and simplicial sets. We show that these weak homotopy equivalences have stronger cohomology-preserving properties than for local coefficients.
Antonio M. Cegarra
doaj +1 more source