Results 1 to 10 of about 1,404 (215)

Symmetry in the core of a zero-dimensional monomial ideal

Journal of Algebra, 2016
exaly  

The Monomial Ideal Membership Problem and Polynomial Identity Testing

V Arvind, Arvind V
exaly  

*-SIMPLE COMPLETE MONOMIAL IDEALS

Communications in Algebra, 2005
exaly  

Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs [PDF]

Heliyon
Let Q be a polynomial ring over a field F and I be an edge ideal associated with the whisker graph of a cubic circulant graph. We discuss the regularity, depth, Stanley depth, and projective dimension of Q/I.
Mujahid Ullah Khan Afridi, Ibad Ur Rehman, Muhammad Ishaq   +2 more
doaj   +2 more sources

Regularity of the edge ideals of perfect [ν,h]-ary trees and some unicyclic graphs [PDF]

Heliyon
We compute the Castelnuovo-Mumford regularity of the quotient rings of edge ideals of perfect [ν,h]-ary trees and some unicyclic graphs.
Fatima Tul Zahra, Muhammad Ishaq, Sarah Aljohani   +2 more
doaj   +2 more sources

Efficient next-generation reservoir computing: An analog in-memory implementation using memristor crossbar arrays [PDF]

iScience
Summary: Reservoir computing has garnered significant attention for its efficiency in processing temporal signals, while the proposed next-generation reservoir computing (NG-RC) further enhances computational efficiency.
Zhuosheng Lin, Xiaona Wu, Zaofeng Chen, Jilong Zhang, Jingliang Deng, Yue Feng   +5 more
doaj   +2 more sources

Monomial Ideals with Primary Components given by Powers of Monomial Prime Ideals [PDF]

The Electronic Journal of Combinatorics, 2014
We characterize monomial ideals which are intersections of powers of monomial prime ideals and study classes of ideals with this property, among them polymatroidal ideals.
Jürgen Herzog, Marius Vlădoiu
openalex   +5 more sources

Klyachko Diagrams of Monomial Ideals [PDF]

Algebras and Representation Theory, 2022
AbstractIn this paper, we introduce the notion of a Klyachko diagram for a monomial ideal I in a certain multi-graded polynomial ring, namely the Cox ring R of a smooth complete toric variety, with irrelevant maximal ideal B. We present procedures to compute the Klyachko diagram of I from its monomial generators, and to retrieve the B −saturation Isat ...
Rosa M. Miró‐Roig, Martí Salat-Moltó   +1 more
openalex   +5 more sources

Normality criteria for monomial ideals [PDF]

Results in Mathematics, 2022
In this paper we study the normality of monomial ideals using linear programming and graph theory. We give normality criteria for monomial ideals, for ideals generated by monomials of degree two, and for edge ideals of graphs and clutters and their ideals of covers.
Luis A. Dupont, Humberto Muñoz-George, Rafael H. Villarreal   +2 more
openalex   +3 more sources

ON A CLASS OF MONOMIAL IDEALS [PDF]

Bulletin of the Australian Mathematical Society, 2013
AbstractLet $S$ be a polynomial ring over a field $K$ and let $I$ be a monomial ideal of $S$. We say that $I$ is MHC (that is, $I$ satisfies the maximal height condition for the associated primes of $I$) if there exists a prime ideal $\mathfrak{p}\in {\mathrm{Ass} }_{S} \hspace{0.167em} S/ I$ for which $\mathrm{ht} (\mathfrak{p})$ equals the number of ...
Keivan Borna, Raheleh Jafari
openalex   +3 more sources