Results 11 to 20 of about 7,769,949 (162)
Some results on top local cohomology and top formal local cohomology modules [PDF]
Communications in Algebra, 2016 Let (R,𝔪) be a complete noetherian local ring and M a finitely generated R-module of dimension n and 𝔞 an ideal of R.At first, we find a relation between top local cohomology and top formal local c...
Asgharzadeh, Mohsen +1 more
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On the Annihilators of Formal Local Cohomology Modules
Hokkaido Mathematical Journal, 2019 Let $\frak{a}$ denote an ideal in a commutative Noetherian local ring $(R,\frak{m})$ and $M$ a non-zero finitely generated $R$-module of dimension $d$. Let $d:=\dim(M/\frak{a} M)$. In this paper we calculate the annihilator of the top formal local cohomology module $\mathfrak{F}_{\frak{a}}^d (M)$. In fact, we prove that ${\rm Ann}_R(\mathfrak{F}_{\frak{
exaly +3 more sources
Cohen-Macaulayness of Formal Fibers and Dimension of Local Cohomology Modules
Communications in AlgebraLet $(R, \mathfrak{m} )$ be a Noetherian local ring, $M$ a finitely generated $R$-module of dimension $d$. Set $\mathfrak{a}(M):=\mathfrak{a}_0(M)\cdots \mathfrak{a}_{d-1}(M)$, where $\mathfrak{a}_i(M):={\rm Ann}_RH^i_{\mathfrak{m}}(M)$ for $i\geq 0$.
Tran Do Minh Chau
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One the P-Adic Local Invariant Cycle Theorem [PDF]
, 2012 The aim of this paper is to consider the $p$-adic local invariant cycle theorem in the mixed characteristic case. In the first part of the paper, via case-by-case discussion, we construct the $p$-adic specialization map, and then write out the ...
Wu, Yi-Tao
core +1 more source
The connective K theory of semidihedral groups [PDF]
, 2010 The real connective K-homology of finite groups ko¤(BG), plays a big role in the Gromov-Lawson-Rosenberg (GLR) conjecture. In order to compute them, we can calculate complex connective K-cohomology, ku¤(BG), first and then follow by computing complex ...
Rodtes, Kijti
core +6 more sources
Artinianness of formal local cohomology modules [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2019 Summary: Let \(\mathfrak{a}\) be an ideal of Noetherian local ring \((R,\mathfrak{m})\) 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 local cohomology modules with respect to \(\mathfrak{m}\).
openaire +1 more source
A Lower Bound for the LS Category of a Formal Elliptic Space [PDF]
, 2005 We give a lower bound for the LS category of a formal elliptic space in terms of its rational cohomology.
Kotani, Yasusuke, Yamaguchi, Toshihiro
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Local BRST cohomology in the antifield formalism: I. General theorems [PDF]
Communications in Mathematical Physics, 1995 We establish general theorems on the cohomology $H^*(s|d)$ of the BRST differential modulo the spacetime exterior derivative, acting in the algebra of local $p$-forms depending on the fields and the antifields (=sources for the BRST variations). It is shown that $H^{-k}(s|d)$ is isomorphic to $H_k(δ|d)$ in negative ghost degree $-k\ (k>0)$, where $δ$
Barnich, Glenn +2 more
openaire +4 more sources
Symmetry fractionalization and twist defects
New Journal of Physics, 2016 Topological order in two-dimensions can be described in terms of deconfined quasiparticle excitations—anyons—and their braiding statistics. However, it has recently been realized that this data does not completely describe the situation in the presence ...
Nicolas Tarantino +2 more
doaj +1 more source
On formal groups and Tate cohomology in local fields [PDF]
Acta Arithmetica, 2018 Let $L/K$ be a Galois extension of local fields of characteristic $0$ with Galois group $G$. If $\mathcal{F}$ is a formal group over the ring of integers in $K$, one can associate to $\mathcal F$ and each positive integer $n$ a $G$-module $F_L^n$ which as a set is the $n$-th power of the maximal ideal of the ring of integers in $L$.
Ellerbrock, Nils, Nickel, Andreas
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