Results 31 to 40 of about 6,938,375 (155)
ON VANISHING OF GENERALIZED LOCAL HOMOLOGY MODULES AND ITS DUALITY [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper we study the vanishing and non-vanishing of generalized local cohomology and generalized local homology. In particular for a Noetherian local ring (R;m) and two non-zero finitely generated R-modules M and N, it is shown that H_m^{dimN} (M ...
KARIM MOSLEHI, MOHAMMAD R. AHMADI
doaj
On the cofiniteness of generalized local cohomology modules
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2020 Let \(R\) be a commutative noetherian ring, \(\mathfrak{a}\) an ideal of \(R\), and \(M\) and \(N\) two \(R\)-modules. Herzog defined the \(i\)th generalized local cohomology module of \(M\) and \(N\) with respect to \(\mathfrak{a}\) as follows: \[H^{i}_{\mathfrak{a}}(M,N) = \underset{n\in \mathbb{N}}\varinjlim \operatorname{Ext}^{i}_{R}(M/\mathfrak{a}^
Vahdanipour, Farzaneh +2 more
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FINITENESS DIMENSIONS AND COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
Mathematical Reports, 2023 Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R, M a nite R-module, and n a non-negative integer. In this paper, for an arbitrary R-module X which is not necessarily nite, we prove the following results: (i) fn a (M;X ...
Vahidi, Alireza +2 more
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On cominimaxness of generalized local cohomology modules
Tạp chí Khoa học, 2019 This research introduces and focuses on (I, M)-cominimax modules. The paper shows that if t is an nonnegative integer, M is a finitely generated projective R-module and N is an R-module such that is minimax and is (I, M)-cominimax for all then is minimax and is finite.
Nguyen Thanh Nam +2 more
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Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
On the vanishing and the finiteness of supports of generalized local cohomology modules [PDF]
manuscripta mathematica, 2008 Let $(R,\fr m)$ be a Noetherian local ring, $I$ an ideal of $R$ and $M, N$ two finitely generated $R$-modules. The first result of this paper is to prove a vanishing theorem for generalized local cohomology modules which says that $H^j_I(M,N)=0$ for all $j>\dim(R)$, provided $M$ is of finite projective dimension.
Cuong, Nguyen Tu, Van Hoang, Nguyen
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Modular analogs of character formulas and minimal lifts of modular forms
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley +1 more source
h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley +1 more source
On the minimaxness and coatomicness of local cohomology modules [PDF]
, 2022 summary:Let $R$ be a commutative Noetherian ring, $I$ an ideal of $R$ and $M$ an $R$-module. We wish to investigate the relation between vanishing, finiteness, Artinianness, minimaxness and $\mathcal {C}$-minimaxness of local cohomology modules.
Roshan-Shekalgourabi, Hajar +1 more
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Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source