Results 1 to 10 of about 675 (93)
Local Cohomology Modules and Relative Cohen-Macaulayness
Discussiones 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
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Gorenstein Rings via Homological Dimensions, and Symmetry in Vanishing of Ext and Tate Cohomology [PDF]
Algebras and Representation Theory, 2023 The aim of this article is to consider the spectral sequences induced by tensor-hom adjunction, and provide a number of new results. Let R be a commutative Noetherian local ring of dimension d .
D. Ghosh, Tony J. Puthenpurakal
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Lefschetz duality for local cohomology [PDF]
Journal of Algebra, 2022 Since the 1974 paper by Peskine and Szpiro, liaison theory via complete intersections, and more generally via Gorenstein varieties, has become a standard tool kit in commutative algebra and algebraic geometry, allowing to compare algebraic features of ...
Matteo Varbaro, Hong-Bing Yu
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TILTING COMPLEXES AND CODIMENSION FUNCTIONS OVER COMMUTATIVE NOETHERIAN RINGS [PDF]
Nagoya mathematical journal, 2022 In the derived category of a commutative noetherian ring, we explicitly construct a silting object associated with each sp-filtration of the Zariski spectrum satisfying the “slice” condition.
Michal Hrbek +2 more
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On the properties of weak CM rings
上海师范大学学报. 自然科学版, 2022 In this paper, we mainly study the properties of weak CM rings. It is a special class of Noetherian commutative rings, including Cohen-Macaulay rings, excellent rings and generalized Cohen-Macaulay rings, which can be characterized by local cohomology ...
XUE Wensi, ZHOU Caijun
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A bimodule structure for the bounded cohomology of commutative local rings [PDF]
Journal of Algebra, 2018 Stable cohomology is a generalization of Tate cohomology to associative rings, first defined by Pierre Vogel. For a commutative local ring $R$ with residue field $k$, stable cohomology modules $\widehat{\mathrm{Ext}}{\vphantom E}^{n}_R\;(k,k)$, defined ...
Luigi Ferraro
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Homological Dimensions of Local (Co)homology Over Commutative DG-rings [PDF]
Canadian mathematical bulletin, 2017 Let $A$ be a commutative noetherian ring, let $\mathfrak{a}\subseteq A$ be an ideal, and let $I$ be an injective $A$ -module. A basic result in the structure theory of injective modules states that the $A$ -module ${{\Gamma }_{\alpha }}\left( I \right ...
Liran Shaul
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Tilting classes over commutative rings [PDF]
Forum mathematicum, 2017 We classify all tilting classes over an arbitrary commutative ring via certain sequences of Thomason subsets of the spectrum, generalizing the classification for noetherian commutative rings by Angeleri, Pospíšil, ŠÅ¥ovíček and Trlifaj (2014).
Michal Hrbek, J. Šťovíček
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Izvestiya Instituta Matematiki i Informatiki Udmurt Gos Univ, 2019 It is well known that the decomposition of injective modules over noetherian rings is one of the most aesthetic and important results in commutative algebra. Our aim is to prove similar results for graded noetherian rings.
Lu Li
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ON THE ASSOCIATED PRIMES OF LOCAL COHOMOLOGY [PDF]
Nagoya mathematical journal, 2016 Let $R$ be a commutative Noetherian ring of prime characteristic $p$ . In this paper, we give a short proof using filter regular sequences that the set of associated prime ideals of $H_{I}^{t}(R)$ is finite for any ideal $I$ and for any $t\geqslant 0 ...
Hai-Long Dao, Quy Hung Pham
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