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 commut...

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