Results 21 to 30 of about 177 (175)
Minimal Systems of Binomial Generators for the Ideals of Certain Monomial Curves
Mathematics, 2021 Let a,b and n>1 be three positive integers such that a and ∑j=0n−1bj are relatively prime. In this paper, we prove that the toric ideal I associated to the submonoid of N generated by {∑j=0n−1bj}∪{∑j=0n−1bj+a∑j=0i−2bj∣i=2,…,n} is determinantal. Moreover,
Manuel B. Branco +2 more
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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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Extremal Betti Numbers of t-Spread Strongly Stable Ideals
Mathematics, 2019 Let K be a field and let S = K [ x 1 , ⋯ , x n ] be a polynomial ring over K. We analyze the extremal Betti numbers of special squarefree monomial ideals of S known as the t-spread strongly stable ideals, where t is an integer ≥ 1
Luca Amata, Marilena Crupi
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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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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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Symbolic Powers of Monomial Ideals [PDF]
Proceedings of the Edinburgh Mathematical Society, 2016 AbstractWe investigate symbolic and regular powers of monomial ideals. For a square-free monomial ideal I ⊆ 𝕜[x0, … , xn] we show that for all positive integers m, t and r, where e is the big-height of I and . This captures two conjectures (r = 1 and r = e): one of Harbourne and Huneke, and one of Bocci et al. We also introduce the symbolic polyhedron
Cooper, Susan M. +3 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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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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Integer sequences and monomial ideals
Proceedings - Mathematical Sciences, 2021 Let $\mathfrak{S}_n$ be the set of all permutations of $[n]=\{1,\ldots,n\}$ and let $W$ be the subset consisting of permutations $σ\in \mathfrak{S}_n$ avoiding 132 and 312-patterns. The monomial ideal $I_W = \left\langle \mathbf{x}^σ = \prod_{i=1}^n x_i^{σ(i)} : σ\in W \right\rangle $ in the polynomial ring $R = k[x_1,\ldots,x_n]$ over a field $k$ is ...
Kumar, Chanchal, Roy, Amit
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Algebraic Analysis of Variants of Multi-State k-out-of-n Systems
Mathematics, 2021 We apply the algebraic reliability method to the analysis of several variants of multi-state k-out-of-n systems. We describe and use the reliability ideals of multi-state consecutive k-out-of-n systems with and without sparse, and show the results of ...
Patricia Pascual-Ortigosa +1 more
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