Results 11 to 20 of about 177 (175)
Communications in Algebra, 2000 We show how to lift any monomial ideal J in n variables to a saturated ideal I of the same codimension in n+t variables. We show that I has the same graded Betti numbers as J and we show how to obtain the matrices for the resolution of I. The cohomology of I is described.
Migliore, Juan C., Nagel, Uwe
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Monomial ideals via square-free monomial ideals [PDF]
, 2005 Corrected Statement of Corollary 2.6 (took one statement out)
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On the Stanley Depth of Powers of Monomial Ideals
Mathematics, 2019 In 1982, Stanley predicted a combinatorial upper bound for the depth of any finitely generated multigraded module over a polynomial ring. The predicted invariant is now called the Stanley depth. Duval et al.
S. A. Seyed Fakhari
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Study and characterization of some classes of polymatroidal ideals
پژوهشهای ریاضی, 2022 Introduction Throughout this paper, we consider monomial ideals of the polynomial ring over a filed. We try to give some properties of the polymatroidal ideals, which are the special class of monomial ideals.
Somayeh Bandari
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Bar Code and Janet-like division
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2022 Bar Codes are combinatorial objects encoding many properties of monomial ideals. In this paper we employ these objects to study Janet-like divisions.
Michela Ceria
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Journal of Commutative Algebra, 2014 15 pages, 4 ...
Clark, Timothy B.P., Mapes, Sonja
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Ideals with linear quotients in Segre products [PDF]
Opuscula Mathematica, 2017 We establish that the Segre product between a polynomial ring on a field \(K\) in \(m\) variables and the second squarefree Veronese subalgebra of a polynomial ring on \(K\) in \(n\) variables has the intersection degree equal to three.
Gioia Failla
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Multiplier ideals of monomial ideals [PDF]
Transactions of the American Mathematical Society, 2001 In this note we discuss a simple algebraic calculation of the multiplier ideal associated to a monomial ideal in affine n n -space. We indicate how this result allows one to compute not only the multiplier ideal but also the log canonical threshold of an ideal in terms of its Newton polygon.
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Families of finite sets in which no set is covered by the union of the others
Examples and Counterexamples, 2023 Let ℱ be a finite nonempty family of finite nonempty sets. We prove the following: (1) ℱ satisfies the condition of the title if and only if for every pair of distinct subfamilies {A1,…,Ar}, {B1,…,Bs}of ℱ, ⋃i=1rAi≠⋃i=1sBi.
Guillermo Alesandroni
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Multiplier ideals of monomial space curves
Proceedings of the American Mathematical Society, Series B, 2014 This paper presents a formula for the multiplier ideals of a monomial space curve. The formula is obtained from a careful choice of log resolution. We construct a toric blowup of affine space in such a way that a log resolution of
Howard M Thompson
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