Results 21 to 30 of about 25,379 (179)
Generic initial ideals of modular polynomial invariants
, 2020 We study the generic initial ideals (gin) of certain ideals that arise in modular invariant theory. For all cases an explicit generating set is known we calculate the generic initial ideal of the Hilbert ideal of a cyclic group of prime order for all ...
Danış, Bekir, Sezer, Müfit
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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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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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Regularity of second power of edge ideals
پژوهشهای ریاضی, 2022 Introduction The study of the minimal free resolution of homogenous ideals and their powers is an interesting and active area of research in commutative algebra.
Seyed Amin Seyed Fakhari
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Generic Cohen-Macaulay Monomial Ideals [PDF]
Annals of Combinatorics, 2004 18 pages, 8 ...
Jarrah, Abdul Salam +1 more
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On the symmetric algebra of syzygy modules of monomial ideals
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2014 We consider the symmetric algebra of the first syzygy module of a monomial ideal generated by an s-sequence. We introduce on that algebra an admissible term order which allows us to compute its algebraic invariants.
Gaetana Restuccia, Paola Lea Stagliano'
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When Is a Graded Free Complex Exact?
Mathematics, 2022 Minimal free resolutions of a finitely generated module over a polynomial ring S=k[x], with variables x={x1,…,xn} and a field k have been extensively studied.
David C. Molano +2 more
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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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Stanley depth of squarefree Veronese ideals
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We compute the Stanley depth for the quotient ring of a square free Veronese ideal and we give some bounds for the Stanley depth of a square free Veronese ideal. In particular, it follows that both satisfy the Stanley's conjecture.
Cimpoeas Mircea
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Linear Maps in Minimal Free Resolutions of Stanley-Reisner Rings
Mathematics, 2019 In this short note we give an elementary description of the linear part of the minimal free resolution of a Stanley-Reisner ring of a simplicial complex Δ .
Lukas Katthän
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