Results 61 to 70 of about 734 (182)
An intrinsic definition of the Rees algebra of a module
, 2017 This paper concerns a generalization of the Rees algebra of ideals due to Eisenbud, Huneke and Ulrich that works for any finitely generated module over a noetherian ring. Their definition is in terms of maps to free modules.
Sædén Ståhl, Gustav, +1 more
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A note on the Rees algebra of a bipartite graph
, 2005 Let R=K[x1,…,xn] be a polynomial ring over a field K and let I be an ideal of R generated by a set xα1,…,xαq of square-free monomials of degree two such that the graph G defined by those monomials is bipartite.
Villarreal, Rafael H. +2 more
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, 2013 Neste trabalho, apresentaremos a noção de álgebra de Rees de um ideal e propriedades básicas. Tal conceito será relacionado com normalidade de anéis e ideais, e redução de ideais.
Macedo, Ricardo Burity Croccia
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Rees Algebras of F-regular Type
Journal of Algebra, 2002 A reduced ring \(R\) of characteristic \(p> 0\) is said to be F-regular if the map \(R\to R^{1/p}\) is module-finite and for every \(c\in R\) not in any minimal prime of \(R\), there exists a power \(q= p^e\) such that the \(R\)-linear inclusion \(c^{1/q}R\to R^{1/q}\) splits.
Hara, Nobuo +2 more
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Noetherian Rees Algebra and Symbolic Powers
, 2012 Let R be a field and [special characters omitted] be the kernel of the homomorphism ϕ from R[[x,y,z]] to R[[t]] defined by: (x → [special characters omitted]).
Heater, Amber
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A construction of Prüfer rings involving quotients of Rees algebras
, 2017 A family of quotients of a Rees algebra associated to a ring with respect to a fixed ideal was recently introduced by Barucci, D’Anna and Strazzanti. In this paper, we will classify rings of this family that satisfy certain Prüfer-like properties and ...
FINOCCHIARO, CARMELO ANTONIO +1 more
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Links of Prime Ideals and Their Rees Algebras
Journal of Algebra, 1995 In a previous paper we exhibited the somewhat surprising property that most direct links of prime ideals in Gorenstein rings are equimultiple ideals with reduction number $1$. This led to the construction of large families of Cohen--Macaulay Rees algebras. The first goal of this paper is to extend this result to arbitrary Cohen--Macaulay rings.
Corso, A., Polini, C.
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Symbolic Rees algebra and polynomials
, 2009 Let K be a field and P be the kernel of the homomorphism from K[[x, y, z]] to K[[t]] defined by {x -\u3e tn, y -\u3e tm, z -\u3e tl }. One wishes to know whether the Symbolic Rees algebra of P, [special characters omitted] is Noetherian.
Wilson, Christina
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Newton-Okounkov body, Rees algebra, and analytic spread of graded families of monomial ideals
, 2023 Let $\mathcal{I} = \{I_k\}_{k \in \mathbb{N}}$ be a graded family of monomial ideal. We use the Newton-Okounkov body of $\mathcal{I}$ to: (a) give a characterization for the Noetherian property of the Rees algebra of the family; and (b) present a ...
Ha, Huy Tai, Nguyen, Thai Thanh
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Rees cones and monomial rings of matroids
, 2008 Using linear algebra methods we study certain algebraic properties of monomial rings and matroids. Let I be a monomial ideal in a polynomial ring over an arbitrary field.
Villarreal, Rafael H.
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