Results 91 to 100 of about 177 (175)

Skeletons of monomial ideals

, 2008
In analogy to the skeletons of a simplicial complex and their Stanley--Reisner ideals we introduce the skeletons of an arbitrary monomial ideal $I\subset S=K[x_1,...,x_n]$. This allows us to compute the depth of $S/I$ in terms of its skeleton ideals. We apply these techniques to show that Stanley's conjecture on Stanley decompositions of $S/I$ holds ...
Herzog, Juergen, Jahan, Ali Soleyman, Zheng, Xinxian   +2 more
openaire   +2 more sources

On the M2-Brane Index on Noncommutative Crepant Resolutions. [PDF]

Lett Math Phys, 2022
Cirafici M.
europepmc   +1 more source

Distinguishing level-1 phylogenetic networks on the basis of data generated by Markov processes. [PDF]

J Math Biol, 2021
Gross E, van Iersel L, Janssen R, Jones M, Long C, Murakami Y.   +5 more
europepmc   +1 more source

Matroid psi classes. [PDF]

Sel Math New Ser, 2022
Dastidar J, Ross D.
europepmc   +1 more source

Some results on simple complete ideals having one characteristic pair

Le Matematiche, 2003
Let α be a regular local two-dimensional ring, and let m = (x, y) be its maximal ideal. Let m > n > 1 be coprime integers, and let p be the integral closure of the ideal (x^m , y^n ).
Silvio Greco, Karlheinz Kiyek
doaj  

Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum. [PDF]

Math Ann, 2023
Bik A, Danelon A, Draisma J.
europepmc   +1 more source

Matroid connectivity and singularities of configuration hypersurfaces. [PDF]

Lett Math Phys, 2021
Denham G, Schulze M, Walther U.
europepmc   +1 more source

Symbolic defect of monomial ideals

Communications in Algebra
Given a monomial ideal $I$, we study two functions that quantify ways to measure the difference between symbolic powers and usual powers of $I$. In many cases we determine the asymptotic growth rate of these two functions. We also perform explicit computations by using the symbolic polyhedron.
openaire   +2 more sources

Some normal monomial ideals

, 2002
In this paper we investigate the question of normality for special monomial ideals in a polynomial ring over a field. We first include some expository sections that give the basics on the integral closure of a ideal, the Rees algebra on an ideal, and some fundamental results on the integral closure of a monomial ideal.
openaire   +2 more sources

Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal. [PDF]

Res Math Sci
Fink A, Giansiracusa J, Giansiracusa N, Mundinger J.   +3 more
europepmc   +1 more source