Results 11 to 20 of about 42,938 (206)
, 2008 We study quotients of the Weyl algebra by left ideals whose generators consist of an arbitrary Z^d-graded binomial ideal I along with Euler operators defined by the grading and a parameter in C^d. We determine the parameters for which these D-modules (i)
Dickenstein, Alicia +2 more
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Regularity and algebraic properties of certain lattice ideals [PDF]
, 2013 We study the regularity and the algebraic properties of certain lattice ideals. We establish a map I --> I\~ between the family of graded lattice ideals in an N-graded polynomial ring over a field K and the family of graded lattice ideals in a polynomial
H. Villarreal +3 more
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International Electronic Journal of Algebra, 2020 Summary: In this paper, we introduce the notion of graded Prüfer domain as a generalization of Prüfer domain to the graded case. We generalize several types of prime ideals associated to a module over a ring to the graded case and prove that most of them coincide over a graded Prüfer domain.
ANSARI, Ajim Uddin +2 more
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On Graded Strongly $1$-Absorbing Primary Ideals
, 2021 Let $G$ be a group with identity $e$ and $R$ be a $G$-graded commutative ring with nonzero unity $1$. In this article, we introduce the concept of graded strongly $1$-absorbing primary ideals. A proper graded ideal $P$ of $R$ is said to be a graded strongly $1$-absorbing primary ideal of $R$ if whenever nonunit homogeneous elements $x, y, z\in R$ such ...
openaire +3 more sources
Binomial Ideals and Congruences on Nn [PDF]
, 2018 Producción CientíficaA congruence on Nn is an equivalence relation on Nn that is compatible with the additive structure. If k is a field, and I is a binomial ideal in k[X1,…,Xn] (that is, an ideal generated by polynomials with at most two ...
D Eisenbud +10 more
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Some Results On Normal Homogeneous Ideals
, 2002 In this article we investigate when a homogeneous ideal in a graded ring is normal, that is, when all positive powers of the ideal are integrally closed.
Reid, Les +2 more
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Hilbert Functions of Filtered Modules [PDF]
, 2009 In this presentation we shall deal with some aspects of the theory of Hilbert functions of modules over local rings, and we intend to guide the reader along one of the possible routes through the last three decades of progress in this area of dynamic ...
Rossi, M. E., Valla, G.
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Convex bodies and multiplicities of ideals
, 2014 We associate convex regions in R^n to m-primary graded sequences of subspaces, in particular m-primary graded sequences of ideals, in a large class of local algebras (including analytically irreducible local domains).
Kaveh, Kiumars, Khovanskii, A. G.
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Multiplicities and Volumes of Filtrations
MathematicsIn this article, we survey some aspects of the theory of multiplicities of mR-primary ideals in a local ring (R,mR) and the extension of this theory to multiplicities of graded families of mR-primary ideals.
Steven Dale Cutkosky
doaj +1 more source
An inclusion result for dagger closure in certain section rings of abelian varieties
, 2011 We prove an inclusion result for graded dagger closure for primary ideals in symmetric section rings of abelian varieties over an algebraically closed field of arbitrary characteristic.Comment: 11 pages, v2: updated one reference, fixed 2 typos; final ...
B.V. Mehta +12 more
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