Results 71 to 80 of about 887,096 (204)
Some remarks on the Stanley depth for multigraded modules
Le Matematiche, 2008 We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, where S = K[x_1; ... ; x_n]. Also, we give some bounds for the Stanley depth of the powers of the maximal irrelevant ideal in S.
Mircea Cimpoeas
doaj
Solving Stochastic Climate‐Economy Models: A Deep Least‐Squares Monte Carlo Approach
Mathematical Finance, Volume 36, Issue 4, Page 751-770, October 2026.ABSTRACT Stochastic versions of recursive integrated climate‐economy assessment models are essential for studying and quantifying policy decisions under uncertainty. However, as the number of state variables and stochastic shocks increases, solving these models via deterministic grid‐based dynamic programming (e.g., value‐function iteration/projection ...
Aleksandar Arandjelović +4 more
wiley +1 more source
Monomial Ideals of Graphs with Loops [PDF]
Annals of the Alexandru Ioan Cuza University - Mathematics, 2014 Abstract We investigate, using the notion of linear quotients, significative classes of connected graphs whose monomial edge ideals, not necessarily squarefree, have linear resolution, in order to compute standard algebraic invariants of the polynomial ring related to these graphs modulo such ideals.
IMBESI, Maurizio, LA BARBIERA, MONICA
openaire +4 more sources
Cohomología local con soporte un ideal monomial (D-módulos y combinatoria) [PDF]
, 2000 We study, by using the theory of algebraic D-modules, the local cohomology modules supported on a monomial ideal I of the polynomial ring R = k[x1, . . . , xn], where k is a field of characteristic zero.
Álvarez Montaner, Josep
core +2 more sources
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
wiley +1 more source
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
openaire +2 more sources
Copolar and non-copolar properties of monomial ideals [PDF]
, 2018 Monomial ideals that have the same polarization are called copolar. Copolar ideals share several important properties, like Betti numbers or height. Given an ideal I we can obtain information about it by examining the family of ideals copolar to a it ...
Sáenz de Cabezón Irigaray, Eduardo [0000-0002-5615-4194] +2 more
core
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
wiley +1 more source
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
openaire +2 more sources
Monomial Cycles in Koszul Homology [PDF]
In this paper we study monomial cycles in Koszul homology over a monomial ring. The main result is that a monomial cycle is a boundary precisely when the monomial representing that cycle is contained in an ideal we introduce called the boundary ideal. As
Zoromski, Jacob
core +1 more source