Results 21 to 30 of about 1,404 (215)
On hereditary irreducibility of some monomial matrices over local rings
Karpatsʹkì Matematičnì Publìkacìï, 2021 We consider monomial matrices over a commutative local principal ideal ring $R$ of type $M(t,k,n)=\Phi\left(\begin{smallmatrix}I_k&0\\0\,\,&tI_{n-k}\end{smallmatrix}\right ...
A.A. Tylyshchak, M. Demko
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Multiplicities of monomial ideals
Journal of Algebra, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Herzog, Jürgen, Srinivasan, Hema
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Monomial s-sequences arising from graph ideals
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2023 Ideals arising from graphs are investigated via s-sequence theory. In particular, the notion of s-sequence for the generators of the edge ideal I(G) of an acyclic graph G is considered for describing the Groebner basis of the relation ideal J of the ...
Maurizio Imbesi, Monica La Barbiera
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Journal of Pure and Applied Algebra, 2005 15 pages ...
Altmann, Klaus, Sturmfels, Bernd
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Free Resolutions and Generalized Hamming Weights of Binary Linear Codes
Mathematics, 2022 In this work, we explore the relationship between the graded free resolution of some monomial ideals and the Generalized Hamming Weights (GHWs) of binary codes.
Ignacio García-Marco +3 more
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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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Divisors on graphs, Connected flags, and Syzygies [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We study the binomial and monomial ideals arising from linear equivalence of divisors on graphs from the point of view of Gröbner theory. We give an explicit description of a minimal Gröbner basis for each higher syzygy module.
Fatemeh Mohammadi, Farbod Shokrieh
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Degenerations of Monomial Ideals [PDF]
Mathematical Research Letters, 2004 In the paper under review the author describes the degenerations of monomial ideals in \(K[[x,y]]\) with \(\text{ Aut}(K[[x,y]])\)-orbit of dimension at most \(3\). In particular, she determines the monomial ideals that any power of \((x,y^4)\) can degenerate to and makes a conjecture about all the ideals that the powers of \((x,y^4)\) can degenerate ...
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Monomial ideals of minimal depth
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 Let S be a polynomial algebra over a field. We study classes of monomial ideals (as for example lexsegment ideals) of S having minimal depth. In particular, Stanley's conjecture holds for these ideals.
Ishaq Muhammad
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