Results 91 to 100 of about 1,404 (215)

Stanley depth on five generated, squarefree, monomial ideals [PDF]

, 2013
Dorin Popescu
openalex   +1 more source

Regularity of Squarefree Monomial Ideals [PDF]

, 2014
We survey a number of recent studies of the Castelnuovo-Mumford regularity of squarefree monomial ideals. Our focus is on bounds and exact values for the regularity in terms of combinatorial data from associated simplicial complexes and/or hypergraphs.
openaire   +2 more sources

The order of dominance of a monomial ideal [PDF]

, 2018
Guillermo Alesandroni
openalex   +1 more source

On regularity and projective dimension of invariant chains of monomial ideals [PDF]

, 2022
Dinh Van Le, Hop D. Nguyen
openalex   +1 more source

Increasing subsequences, matrix loci and Viennot shadows

Forum of Mathematics, Sigma
Let ${\mathbf {x}}_{n \times n}$ be an $n \times n$ matrix of variables, and let ${\mathbb {F}}[{\mathbf {x}}_{n \times n}]$ be the polynomial ring in these variables over a field ${\mathbb {F}}$ .
Brendon Rhoades
doaj   +1 more source

Stabilization of associated prime ideals of monomial ideals -- Bounding the copersistence index [PDF]

, 2023
Clemens Heuberger, Jutta Rath, Roswitha Rissner   +2 more
openalex   +1 more source

Cohen-Macaulayness of generically complete intersection monomial ideals [PDF]

, 2011
Le Dinh Nam, Matteo Varbaro
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Noether Lattices Representable as Quotients of the Lattice of Monomially Generated Ideals of Polynomial Rings [PDF]

, 1979
D. D. Anderson, E. W. Johnson, Jeffrey Alan Johnson   +2 more
openalex   +1 more source

On the Hilbert depth of the Hilbert function of a finitely generated graded module

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let K be a field, A a standard graded K-algebra and M a finitely generated graded A-module. Inspired by our previous works, see [2] and [3], we study the invariant called Hilbert depth of hM, that is hdepth(hM)=max{d:∑j≤k(-1)k-j(d-jk-j)hM(j)≥0  for  all ...
Bălănescu Silviu, Cimpoeaş Mircea
doaj   +1 more source

Strong Persistence Index and Fluctuations in Colon Powers of Monomial Ideals

Mathematics
Let I be an ideal in a commutative Noetherian ring R. We say that a positive integer ℓ0 is the strong persistence index of I if ℓ0 is the smallest integer such that (Iℓ+1:RI)=Iℓ for all ℓ≥ℓ0.
Mehrdad Nasernejad, Jonathan T. Toledo
doaj   +1 more source