Results 71 to 80 of about 237,348 (199)
Cohen–Macaulay monomial ideals with given radical [PDF]
, 2010 We study the set of Cohen–Macaulay monomial ideals with a given radical. Among this set of ideals are the so-called Cohen–Macaulay modifications. Not all Cohen–Macaulay squarefree monomial ideals admit nontrivial Cohen–Macaulay modifications. It is shown
Ahmad, Safyan, Naeem, Muhammad
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Monomial ideals with tiny squares and Freiman ideals [PDF]
, 2021 summary:We provide a construction of monomial ideals in $R=K[x,y]$ such that $\mu (I^{2})< \nobreak \mu (I)$, where $\mu $ denotes the least number of generators. This construction generalizes the main result of S. Eliahou, J. Herzog, M.
Al-Ayyoub, Ibrahim, Nasernejad, Mehrdad
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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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A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
Mathematische Nachrichten, Volume 299, Issue 9, Page 2436-2451, September 2026.ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
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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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Compile‐Once Block Encodings for Masked Similarity‐Transformed Effective Hamiltonians
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.Composer transforms structured electronic‐structure operators into a reusable quantum‐circuit fabric. Once compiled, the same block‐encoding architecture is re‐dialed through coefficients, rotation angles, and masks to generate similarity‐transformed effective Hamiltonians across related problem instances, avoiding repeated structural recompilation ...
Bo Peng, Yuan Liu, Karol Kowalski
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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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COMPUTING RATIONAL POWERS OF MONOMIAL IDEALS [PDF]
, 2022 This paper concerns fractional powers of monomial ideals. Rational powers of a monomial ideal generalize the integral closure operation as well as recover the family of symbolic powers.
LIM, JOSIAH +7 more
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Cohen-Macaulay and (S2) Properties of the Second Power of Squarefree Monomial Ideals
Mathematics, 2019 We show that Cohen-Macaulay and (S 2 ) properties are equivalent for the second power of an edge ideal. We give an example of a Gorenstein squarefree monomial ideal I such that S / I 2 satisfies the Serre condition (S 2 ), but is ...
Do Trong Hoang +2 more
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Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT We show that the removal of a type of reverse reactions preserves the absence of Hopf bifurcations in mass‐action reaction networks, or more precisely, the absence of single pairs of purely imaginary eigenvalues of the Jacobian of the system. The motivation is to answer the open question of whether the dual phosphorylation mechanism requiring ...
Elisenda Feliu, Nidhi Kaihnsa
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