Current Trends on Monomial and Binomial Ideals

Current Trends on Monomial and Binomial Ideals

Historically, the study of monomial ideals became fashionable after the pioneering work by Richard Stanley in 1975 on the upper bound conjecture for spheres. On the other hand, since the early 1990s, under the strong influence of Gröbner bases, binomial ideals became gradually fashionable in commuta...

Full description

Bibliographic Details
Format: eBook
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:
(S2) condition
algebras with straightening laws
associated graded rings
Betti number
bipartite graph
Bipartite graphs
Castelnuovo-Mumford regularity
chain polytope
circuit
circulant graphs
Cohen Macaulay
Cohen-Macaulay
colon ideals
complete intersection
cover ideal
depth
depth of powers of bipartite graphs
directed cycle
distribuive lattice
dstab
edge ideal
edge ideals
edge polytope
edge ring
even cycle
flawless
graph
graphs
Gröbner bases
h-vector
integral closure
linear part
matching number
monomial ideal
multipartite graph
O-sequence
order and chain polytopes
order polytope
partially ordered set
polymatroidal ideal
projective dimension
Rees algebra
regular elements on powers of bipartite graphs
regularity
stable set polytope
stable set polytopes
Stanley depth
Stanley-Reisner ideal
Stanley-Reisner ring
Stanley's inequality
symbolic power
syzygy
toric ideals
toric ring
Online Access:Open Access: DOAB: description of the publication
Open Access: DOAB, download the publication

Internet

Open Access: DOAB: description of the publication
Open Access: DOAB, download the publication

Similar Items