Results 111 to 120 of about 237,348 (199)

Stanley's conjecture, cover depth and extremal simplicial complexes

Le Matematiche, 2008
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so-called Stanley depth, a geometric one. We describe two related geometric notions, the cover depth and the greedy depth, and we study their relations with
Benjamin Nill, Kathrin Vorwerk
doaj  

On Ideals Generated by R-Circuits

Mathematics
Let R be a commutative ring, and let S=R[Y1,…,Yn] denote the polynomial ring in n variables Y1,…,Yn. We introduce an admissible term order on the monomials in these variables and extend the classical definition of circuits to the case where coefficients ...
Gioia Failla, Paola Lea Staglianò
doaj   +1 more source

Reductions of monomial ideals

, 1998
In this thesis, we study the normalizations of subrings of a polynomial ring k[x_(1), x_(2),…,x_(n)] where k is a field. We also study the normalizations of monomial ideals of k[x_(1), x_(2),…,x_(n)].
정경옥
core   +1 more source

Monomial ideals and $n$-lists

Illinois Journal of Mathematics, 2004
Generalizing a construction of \textit{A. V. Geramita}, \textit{T. Harima} and \textit{Y. S. Shin} [Ill. J. Math 45, 1--23 (2001; Zbl 1095.13500)], the author introduces so-called \(n\)-lists: A \(1\)-list is a natural number, and for \(n\geq 1\) an \(n\)-list is a decreasing infinite sequence of \((n- 1)\)-lists, where \(A\geq B\) for two \(n\)-lists \
openaire   +3 more sources

Border Basis of an Ideal of Points and its Application in Experimental Design and Regression

پژوهش‌های ریاضی, 2020
Introduction Border bases are a generalization of Gröbner bases for zero-dimensional ideals which have attracted the interest of many researchers recently. More precisely, border bases provide a new method to find a structurally stable monomial basis for
Samira Poukhajouei, Sare Goli, Amir Hashemi   +2 more
doaj  

Tropical ideals do not realise all Bergman fans. [PDF]

Res Math Sci, 2021
Draisma J, Rincón F.
europepmc   +1 more source

Integral Closures of Ideals and Coefficient Ideals of Monomial Ideals

, 2021
The integral closure I of an ideal I in a ring R consists of all elements x ∈ R that are integral over I. If R is an algebra over an infinite field k, one can define general elements of belonging to a Zariski-open subset of kn.We prove that for any ideal
Hill, Lindsey
core  

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  

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

Lett Math Phys, 2022
Cirafici M.
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