Results 21 to 30 of about 14,720 (185)
Communications, 2014 The paper deals with the problem of the expression of associated prime ideals of monomial curves in the affine space A4 as set-theoretic complete intersections.
Michaela Holesova
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Steiner Configurations Ideals: Containment and Colouring
Mathematics, 2021 Given a homogeneous ideal I⊆k[x0,…,xn], the Containment problem studies the relation between symbolic and regular powers of I, that is, it asks for which pairs m,r∈N, I(m)⊆Ir holds.
Edoardo Ballico +4 more
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, 2007 We give conditions for determining the extremal behavior for the (graded) Betti numbers of squarefree monomial ideals. For the case of non-unique minima, we give several conditions which we use to produce infinite families, exponentially growing with ...
Dodd, Christopher +3 more
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Orderings of monomial ideals [PDF]
Fundamenta Mathematicae, 2004 We study the set of monomial ideals in a polynomial ring as an ordered set, with the ordering given by reverse inclusion. We give a short proof of the fact that every antichain of monomial ideals is finite. Then we investigate ordinal invariants for the complexity of this ordered set.
Aschenbrenner, Matthias, Pong, Wai Yan
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Stanley depth of quotient of monomial complete intersection ideals [PDF]
, 2013 We compute the Stanley depth for a particular, but important case, of the quotient of complete intersection monomial ideals. Also, in the general case, we give sharp bounds for the Stanley depth of a quotient of complete intersection monomial ideals.
Cimpoeas, Mircea
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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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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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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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