Relevant bibliographies by topics / Annihilator of local cohomology module

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Academic literature on the topic 'Annihilator of local cohomology module'

Author: Grafiati
Published: 5 June 2025
Last updated: 1 August 2025

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Journal articles on the topic "Annihilator of local cohomology module"

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Hasanzad, Masoumeh, and Jafar A’zami. "A short note on annihilators of local cohomology modules." Journal of Algebra and Its Applications 19, no. 02 (2019): 2050026. http://dx.doi.org/10.1142/s0219498820500267.

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Let [Formula: see text] be a commutative Noetherian domain, [Formula: see text] a nonzero [Formula: see text]-module of finite injective dimension, and [Formula: see text] be a nonzero ideal of [Formula: see text]. In this paper, we prove that whenever [Formula: see text], then the annihilator of [Formula: see text] is zero. Also, we calculate the annihilator of [Formula: see text] for finitely generated [Formula: see text]-modules [Formula: see text] and [Formula: see text] with conditions [Formula: see text] and [Formula: see text]. Moreover, if [Formula: see text] is a regular Noetherian lo
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Raghavan, K. "Uniform annihilation of local cohomology and of Koszul homology." Mathematical Proceedings of the Cambridge Philosophical Society 112, no. 3 (1992): 487–94. http://dx.doi.org/10.1017/s0305004100071164.

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Let R be a ring (all rings considered here are commutative with identity and Noetherian), M a finitely generated R-module, and I an ideal of R. The jth local cohomology module of M with support in I is defined byIn this paper, we prove a uniform version of a theorem of Brodmann about annihilation of local cohomology modules. As a corollary of this, we deduce a generalization of a theorem of Hochster and Huneke about uniform annihilation of Koszul homology.
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An, Trần Nguyên. "ANNIHILATOR OF LOCAL COHOMOLOGY MODULES AND STRUCTURE OF RINGS." TNU Journal of Science and Technology 225, no. 13 (2020): 73–77. http://dx.doi.org/10.34238/tnu-jst.3194.

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Cho (R, m) là vành Noether địa phương, A là R-môđun Artin, và M là R-môđun hữu hạn sinh. Ta có Ann R(M/ p M) = p với mọi p ∈ Var(Ann R M). Do đó rất tự nhiên ta xét tính chất sau về linh hóa tử của môđun ArtinAnn R(0 : A p) = p for all p ∈ Var(Ann R A). (∗)Cho i ≥ 0 là số nguyên. Alexander Grothendieck đã chỉ ra rằng môđun đối đồng điều địa phương Hi m(M) là Artin. Tính chất (∗) của các môđun đối đồng điều địa phương liên hệ mật thiết với cấu trúc vành cơ sở. Trong bài báo này, chúng tôi chỉ ra với mỗi p ∈ Spec(R) mà Hmi (R/ p) thỏa mãn tính chất (*) với mọi i thì R/ p là catenary phổ dụng và
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Divaani-Aazar, Kamran, and Majid Rahro Zargar. "The derived category analogues of Faltings Local-global Principle and Annihilator Theorems." Journal of Algebra and Its Applications 18, no. 07 (2019): 1950140. http://dx.doi.org/10.1142/s0219498819501408.

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Let [Formula: see text] be a specialization closed subset of Spec R and X a homologically left-bounded complex with finitely generated homologies. We establish Faltings’ Local-global Principle and Annihilator Theorems for the local cohomology modules [Formula: see text] Our versions contain variations of results already known on these theorems.
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BAGHERIYEH, IRAJ, KAMAL BAHMANPOUR, and GHADER GHASEMI. ""COFINITENESS AND ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES"." Mathematical Reports 25(75), no. 1 (2022): 133–51. http://dx.doi.org/10.59277/mrar.2023.25.75.1.133.

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"Let R be a Noetherian ring and I be an ideal of R. Let M be a finitely generated R-module with cd(I,M) = t ≥ 0 and assume that L is the largest submodule of M such that cd(I,L) < cd(I,M). It is shown that AnnR Ht I (M) = AnnRM/L in each of the following cases: (i) dimM/IM ≤ 1. (ii) dimR/I ≤ 1. (iii) The R-module Hi I (M) is Artinian for each i ≥ 2. (iv) The R-module Hi I (R) is Artinian for each i ≥ 2. (v) cd(I,M) ≤ 1. (vi) cd(I,R) ≤ 1. (vii) The Rmodule Ht I (M) is Artinian and I-cofinite. These assertions answer affirmatively a question raised by Atazadeh et al. in [2], in some special c
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Khojali, Ahmad. "On Buchsbaum type modules and the annihilator of certain local cohomology modules." Czechoslovak Mathematical Journal 67, no. 4 (2017): 1021–29. http://dx.doi.org/10.21136/cmj.2017.0313-16.

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AMANALAHZADEH, Mahnaz, Jafar A’ZAMI, and Kamal BAHMANPOUR. "Lynch’s conjecture and annihilators of local cohomology modules." Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information Science 25, no. 3 (2024): 181–85. http://dx.doi.org/10.59277/pra-ser.a.25.3.03.

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Let $R$ be a commutative Noetherian ring and $I$ be an ideal of $R$ with $\cd(I,R)=t\geq 1$. In this paper, we consider the Lynch's conjecture and we obtain a partial answer for this conjecture. More precisely, we show that if $M$ is an $R$-module such that $0\neq H^t_I(M)$ is $I$-cofinite, then $\Ann_RH^t_I(R)\subseteq \p$ for some minimal prime ideal $\p$ of $R$.
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Bahmanpour, Kamal. "Annihilators of Local Cohomology Modules." Communications in Algebra 43, no. 6 (2015): 2509–15. http://dx.doi.org/10.1080/00927872.2014.900687.

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Karimi, S., and Sh Payrovi. "Attached primes and annihilators of top local cohomology modules defined by a pair of ideals." Algebra and Discrete Mathematics 29, no. 2 (2020): 211–20. http://dx.doi.org/10.12958/adm429.

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Khashyarmanesh, Kazem. "On the Annihilators of Local Cohomology Modules." Communications in Algebra 37, no. 5 (2009): 1787–92. http://dx.doi.org/10.1080/00927870802216412.

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Dissertations / Theses on the topic "Annihilator of local cohomology module"

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Costa, Diego Alves da. "Cohomologia Local: noções básicas e aplicações." Universidade Federal de Sergipe, 2017. https://ri.ufs.br/handle/riufs/5805.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>The purpose of this dissertation is to introduce the notion of local cohomology as well as some of its applications. Initially, we performed a brief review on the main homological tools used in this work, such as: homology of a complex, isomorphism of complexes, injective resolutions, derived functors, etc. Next, we detail properties of the injective modules in the context of Noetherian rings. Finally, we present di erent ways of de ning local cohomology and we show how this notion is used to investigate the arithmeti
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Santos, Júnio Teles dos. "A regularidade de Castelnuovo-Mumford de módulos sobre anéis de polinômios." Pós-Graduação em Matemática, 2018. http://ri.ufs.br/jspui/handle/riufs/7549.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>David Mumford introduced the concept of regularity of a coherent beam into the projective space in terms of local cohomology, generalizing a classic argument of Castelnuovo. In this dissertation under view of commutative algebra, we will introduce the concept of regularity of finitely generated graduated modules on the ring of polynomials. First, we perform a preliminary study on dimension theory and especially on Hilbert’s function. We also studied the basics of Cohen- Macaulay modules, properties of Betti’s graduated
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(6598226), Avram W. Steiner. "A-Hypergeometric Systems and D-Module Functors." Thesis, 2019.

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<div>Let A be a d by n integer matrix. Gel'fand et al.\ proved that most A-hypergeometric systems have an interpretation as a Fourier–Laplace transform of a direct image. The set of parameters for which this happens was later identified by Schulze and Walther as the set of not strongly resonant parameters of A. A similar statement relating A-hypergeometric systems to exceptional direct images was proved by Reichelt. In the first part of this thesis, we consider a hybrid approach involving neighborhoods U of the torus of A and consider compositions of direct and exceptional direct images. Our m
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Hrbek, Michal. "Vychylující teorie komutativních okruhů." Doctoral thesis, 2017. http://www.nusl.cz/ntk/nusl-368910.

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The thesis compiles my contributions to the tilting theory, mainly in the set- ting of a module category over a commutative ring. We give a classification of tilting classes over an arbitrary commutative ring in terms of data of geometrical flavor - certain filtrations of the Zariski spectrum. This extends and connects the results known previously for the noetherian case, and for Prüfer domains. Also, we show how the classes can be expressed using the local and Čech homology the- ory. For 1-tilting classes, we explicitly construct the associated tilting modules, generalizing constructions of F
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Books on the topic "Annihilator of local cohomology module"

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Abbes, Ahmed, and Michel Gros. Representations of the fundamental group and the torsor of deformations. Local study. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691170282.003.0002.

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This chapter focuses on representations of the fundamental group and the torsor of deformations. It considers the case of an affine scheme of a particular type, qualified also as small by Faltings. It introduces the notion of Dolbeault generalized representation and the companion notion of solvable Higgs module, and then constructs a natural equivalence between these two categories. It proves that this approach generalizes simultaneously Faltings' construction for small generalized representations and Hyodo's theory of p-adic variations of Hodge–Tate structures. The discussion covers the relev
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Book chapters on the topic "Annihilator of local cohomology module"

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"The Annihilator and Finiteness Theorems." In Local Cohomology. Cambridge University Press, 1998. http://dx.doi.org/10.1017/cbo9780511629204.012.

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