Results 141 to 150 of about 6,967,157 (160)
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{
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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 $L$.
Andreas Nickel
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On formal local cohomology modules with respect to a pair of ideals [PDF]
Journal of Commutative Algebra, 2016 Let \(R\) be a Noetherian commutative ring with identity. Let \(\mathfrak a\), \(I\) and \(J\) be ideals of \(R\) and \(M\) an \(R\)-module. The notion of formal local cohomology was introduced by \textit{P. Schenzel} [J. Algebra 315, No. 2, 894--923 (2007; Zbl 1131.13018)].
Freitas, T.H., Pérez, V.H. Jorge
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Artinianness and Attached Primes of Formal Local Cohomology Modules
Algebra Colloquium, 2014Let 𝔞 be an ideal of a local ring (R, 𝔪) and M a finitely generated R-module. In this paper we study the Artinianness properties of formal local cohomology modules and we obtain the lower and upper bounds for Artinianness of formal local cohomology modules.
Bijan-Zadeh, Mohammad Hasan +1 more
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Artinianness and finiteness of formal local cohomology modules with respect to a pair of ideals [PDF]
Beitrage Zur Algebra Und Geometrie, 2016 Let $(R,\mathfrak{m})$ be a commutative Noetherian local ring, $M$ be a finitely generated $R$-module and $\mathfrak{a}$, $I$ and $J$ be ideals of $R$. We investigate the structure of formal local cohomology modules of $\mathfrak{F}^i_{\mathfrak{a},I,J}(M)$ and $\check{\mathfrak{F}}^i_{\mathfrak{a},I,J}(M)$ with respect to a pair of ideals, for all $i ...
Freitas, T. H., Jorge Pérez, V. H.
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A finite result for the set of associated prime ideals of formal local cohomology modules
Asian-European Journal of Mathematics, 2018Let [Formula: see text] be a Noetherian local ring, [Formula: see text] two ideals of [Formula: see text], and [Formula: see text] two finitely generated [Formula: see text]-modules. It is first shown that [Formula: see text] is a finite set. We also prove that except the maximal ideal [Formula: see text], the set [Formula: see text] is stable for ...
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SOME RESULTS ON THE 0TH FORMAL LOCAL COHOMOLOGY WITH RESPECT TO A NON-MAXIMAL IDEAL
Tạp chí Khoa họcBài báo này nghiên cứu về đối đồng điều địa phương hình thức ứng với iđêan không tối đại. Đây là một mở rộng của đối đồng điều địa phương hình thức ứng với iđêan tối đại của Schenzel (2007). Bằng cách sử dụng các tính chất của giới hạn ngược và tô pô I-adic chúng tôi đã chứng minh được một số tính chất quan trọng của đối đồng điều địa phương hình thức ...
Trần Tuấn Nam +1 more
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Finiteness Properties of Formal Local Cohomology Modules and Cohen–Macaulayness
Communications in Algebra, 2011Kamran Divaani-Aazar +1 more
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