Abstract | ||
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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 |
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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 Ene | 1 | 1 | 2.24 |
Jürgen Herzog | 2 | 28 | 7.98 |
Fatemeh Mohammadi | 3 | 1 | 1.56 |