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Vraciu, Adela

doi:10.1016/j.jalgebra.2014.11.004

Cited by 5 publications

(6 citation statements)

References 19 publications

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“…Remark 2.8. We were noticed about the fact that we are not the first to use the result in [15] in the positive characteristic case -Vraciu [17] has used similar techniques in order to obtain results on the minimal degree of a nontrivial zero-divisor in k[x 1 , . .…”

Section: Stanley's Results In Positive Characteristicmentioning

confidence: 99%

“…Thus a natural problem in characteristic p is to characterize which monomial complete intersections that have the SLP and the WLP. Partial results have appeared in [2,3,8,9,10,17]. In this paper, we continue this journey using purely algebraic methods.…”

Section: Introductionmentioning

confidence: 94%

“…. , d 5 , p) = (4, 4, 4, 4, 5, 3) was detected [17,Proposition 5.6], and when n = 4, a large family of WLP algebras is described [17,Proposition 5.6].…”

Section: It Follows Thatmentioning

confidence: 99%

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On the structure of monomial complete intersections in positive characteristic

Lundqvist¹,

Nicklasson²

2019

Journal of Algebra

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In this paper we study the Lefschetz properties of monomial complete intersections in positive characteristic. We give a complete classification of the strong Lefschetz property when the number of variables is at least three, which proves a conjecture by Cook II. We also extend earlier results on the weak Lefschetz property by dropping the assumption on the residue field being infinite, and by giving new sufficient criteria.

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Section: Stanley's Results In Positive Characteristicmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 94%

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On the structure of monomial complete intersections in positive characteristic

Lundqvist¹,

Nicklasson²

2019

Journal of Algebra

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“…We use the following computation of Vraciu [13] to study an example of the diagonal hypersurface case.…”

Section: An Example On Diagonal Hypersurface Ringsmentioning

confidence: 99%

An inequality on diagonalF-thresholds over standard-graded completeintersection rings

Li¹

2019

Turk J Math

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“…In addition, we use the Theorem 6.13 to find a lower bound for the F -signature. This example is possible thanks to recent computations of top socle degrees for diagonal hypersurfaces [Vra15b].…”

Section: The Equality Fpt(m) = C M (M) For Standard Graded Ringsmentioning

confidence: 99%

On the existence of 𝐹-thresholds and related limits

Stefani

Núñez-Betancourt²,

Pérez

2018

Trans. Amer. Math. Soc.

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Dedicated to Professor Craig Huneke on the occasion of his sixty-fifth birthday.Abstract. We show the existence of F -thresholds in full generality. In addition, we study properties of standard graded algebras over a field for which F -pure threshold and F -threshold at the irrelevant maximal ideal agree. We also exhibit explicit bounds for the a-invariants and Castelnuovo-Mumford regularity of Frobenius powers of ideals in terms of F -thresholds and F -pure thresholds, obtaining the existence of related limits in certain cases.

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On the degrees of relations onx1d1,…,xn

Cited by 5 publications

References 19 publications

On the structure of monomial complete intersections in positive characteristic

On the structure of monomial complete intersections in positive characteristic

An inequality on diagonalF-thresholds over standard-graded completeintersection rings

On the existence of 𝐹-thresholds and related limits

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