Title
Monomial ideals and toric rings of Hibi type arising from a finite poset
Abstract
In this paper we study monomial ideals attached to posets, introduce generalized Hibi rings and investigate their algebraic and homological properties. The main tools to study these objects are Grobner basis theory, the concept of sortability due to Sturmfels and the theory of weakly polymatroidal ideals.
Year
DOI
Venue
2011
10.1016/j.ejc.2010.11.006
Eur. J. Comb.
Keywords
Field
DocType
grobner basis theory,monomial ideal,toric ring,homological property,main tool,weakly polymatroidal ideal,hibi ring,finite poset,hibi type
Discrete mathematics,Combinatorics,Algebraic number,Gröbner basis,Monomial,Partially ordered set,Mathematics
Journal
Volume
Issue
ISSN
32
3
European Journal of Combinatorics 32 (3) 2011, 404-421
Citations 
PageRank 
References 
1
0.55
0
Authors
3
Name
Order
Citations
PageRank
Viviana Ene112.24
Jürgen Herzog2287.98
Fatemeh Mohammadi311.56