Results 21 to 30 of about 2,135 (235)

UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES [PDF]

open access: yesJournal 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
doaj   +1 more source

Local Cohomology and Stratification [PDF]

open access: yesFoundations of Computational Mathematics, 2019
Final version, published in Foundations of Computational ...
openaire   +4 more sources

Extension Functors of Generalized Local Cohomology Modules

open access: yesپژوهش‌های 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  

Co-Cohen-Macaulay Modules and Local Cohomology

open access: yesJournal 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

Nonvanishing Local Cohomology Classes [PDF]

open access: yesTransactions of the American Mathematical Society, 1984
We discuss the nonvanishing of a top-dimensional canonical cohomology class of the space B ¯ D i f f ω M \bar B\mathcal {D}if{f_\omega }\;M .
openaire   +2 more sources

Combinatorial integers (m,nj) and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds

open access: yesInternational 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

open access: yesMathematics, 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

Local Anomalies and Local Equivariant Cohomology [PDF]

open access: yesCommunications in Mathematical Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Local Cohomology Modules and Relative Cohen-Macaulayness

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
doaj   +1 more source

Deformation of singular foliations, 1: Local deformation cohomology

open access: yesComptes Rendus. Mathématique, 2020
In this paper we introduce the notion of deformation cohomology for singular foliations and related objects (namely integrable differential forms and Nambu structures), and study it in the local case, i.e., in the neighborhood of a point.
Monnier, Philippe, Nguyen, Tien Zung
doaj   +1 more source

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