Results 21 to 30 of about 28,236 (225)
NOETHERIAN HOPF ALGEBRAS [PDF]
Glasgow Mathematical Journal, 2013 AbstractA brief survey of some aspects of noetherian Hopf algebras is given, concentrating on structure, homology, and classification, and accompanied by a panoply of open problems.
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Noetherian operators in Macaulay2
Journal of Software for Algebra and Geometry, 2022 A primary ideal in a polynomial ring can be described by the variety it defines and a finite set of Noetherian operators, which are differential operators with polynomial coefficients. We implement both symbolic and numerical algorithms to produce such a description in various scenarios as well as routines for studying affine schemes through the prism ...
Chen, Justin +4 more
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Homological invariants associated to semi-dualizing bimodules [PDF]
, 2005 Cohen-Macaulay dimension for modules over a commutative noetherian local ring has been defined by A. A. Gerko. That is a homological invariant sharing many properties with projective dimension and Gorenstein dimension.
Araya, Tokuji +2 more
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Journal of Algebra, 1999 Let \(S\) be a semigroup and let \(K\) be a field. The authors are interested in conditions under which the semigroup algebra \(K[S]\) is right or left Noetherian. In particular, they investigate cases when these two concepts coincide, when Noetherian property of \(K[S]\) implies \(S\) is finitely generated, and when \(S\) satisfies the ascending chain
Jespers, Eric, Okninski, J.
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Finite injective dimension over rings with Noetherian cohomology [PDF]
, 2011 We study rings which have Noetherian cohomology under the action of a ring of cohomology operators. The main result is a criterion for a complex of modules over such a ring to have finite injective dimension.
Burke, Jesse
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Choice principles and lift lemmas [PDF]
Categories and General Algebraic Structures with Applications, 2017 We show that in ZF set theory without choice, the Ultrafilter Principle (UP) is equivalent to several compactness theorems for Alexandroff discrete spaces and to Rudin's Lemma, a basic tool in topology and the theory of quasicontinuous domains. Important
Marcel Ern'e
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Ring Noetherian dan Ring Artinian
Sainsmat, 2014 DOWNLOAD PDF Dalam tulisan ini, diperkenalkan dua klas khusus dari ring yaitu Ring Noetherian dan Ring Artinian. Berawal dari adanya suatu ring komutatif yang mempunyai suatu ideal (ideal kiri dan ideal kanan). Apabila ideal tersebut
. Fitriani
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Some results on top local cohomology modules with respect to a pair of ideals [PDF]
Mathematica Bohemica, 2020 Let $I$ and $J$ be ideals of a Noetherian local ring $(R,\mathfrak m)$ and let $M$ be a nonzero finitely generated $R$-module. We study the relation between the vanishing of $H_{I,J}^{\dim M}(M)$ and the comparison of certain ideal topologies.
Saeed Jahandoust, Reza Naghipour
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When Are Graded Rings Graded S-Noetherian Rings
Mathematics, 2020 Let Γ be a commutative monoid, R=⨁α∈ΓRα a Γ-graded ring and S a multiplicative subset of R0. We define R to be a graded S-Noetherian ring if every homogeneous ideal of R is S-finite. In this paper, we characterize when the ring R is a graded S-Noetherian
Dong Kyu Kim, Jung Wook Lim
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Journal of Pure and Applied Algebra, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Green, E. L. +3 more
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