Results 51 to 60 of about 14,720 (185)

MONOMIAL IDEALS FROM A SEMIRING PERSPECTIVE

Tạp chí Khoa học Đại học Đà Lạt
We formulate the theory of monomial ideals of a ring of polynomials with coefficients in a field through the theory of semirings. In particular, we focus on the theory of integrally closed monomial ideals.
Cristhian Garay-López, P. Rubí Pantaleón-Mondragón, Saúl Aranda   +2 more
doaj   +1 more source

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, Javier A. Moreno, Carlos E. Valencia   +2 more
doaj   +1 more source

Some Results On Normal Homogeneous Ideals

, 2002
In this article we investigate when a homogeneous ideal in a graded ring is normal, that is, when all positive powers of the ideal are integrally closed.
Reid, Les, Roberts, Leslie G., Vitulli, Marie A.   +2 more
core   +1 more source

A note on minimal resolutions of vector–spread Borel ideals

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
We consider vector–spread Borel ideals. We show that these ideals have linear quotients and thereby we determine the graded Betti numbers and the bigraded Poincaré series.
Crupi Marilena, Ficarra Antonino
doaj   +1 more source

Monomial Cut Ideals

Communications in Algebra, 2013
B. Sturmfels and S. Sullivant associated to any graph a toric ideal, called the cut ideal. We consider monomial cut ideals and we show that their algebraic properties such as the minimal primary decomposition, the property of having a linear resolution or being Cohen--Macaulay may be derived from the combinatorial structure of the graph.
openaire   +2 more sources

Random Monomial Ideals: a Macaulay2 package [PDF]

Journal of Software for Algebra and Geometry, 2019
The {\tt Macaulay2} package {\tt RandomMonomialIdeals} provides users with a set of tools that allow for the systematic generation and study of random monomial ideals. It also introduces new objects, Sample and Model, to allow for streamlined handling of random objects and their statistics in {\tt Macaulay2}.
Petrović, Sonja, Stasi, Despina, Wilburne, Dane   +2 more
openaire   +3 more sources

Hadamard Product of Monomial Ideals and the Hadamard Package

Mathematics
In this paper, we generalize and study the concept of Hadamard product of ideals of projective varieties to the case of monomial ideals. We have a research direction similar to the one of the join of monomial ideals contained in a paper of Sturmfels and ...
Iman Bahmani Jafarloo, Cristiano Bocci, Elena Guardo   +2 more
doaj   +1 more source

Transversal intersection of monomial ideals [PDF]

Proceedings - Mathematical Sciences, 2019
arXiv admin note: text overlap with arXiv:1611 ...
Saha, Joydip, Sengupta, Indranath, Tripathi, Gaurab   +2 more
openaire   +2 more sources

Normality Criteria for Monomial Ideals

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
openaire   +2 more sources

Cohen–Macaulayness of Vertex Splittable Monomial Ideals

Mathematics
In this paper, we give a new criterion for the Cohen–Macaulayness of vertex splittable ideals, a family of monomial ideals recently introduced by Moradi and Khosh-Ahang. Our result relies on a Betti splitting of the ideal and provides an inductive way of
Marilena Crupi, Antonino Ficarra
doaj   +1 more source