Details:
Title  The incidence algebra of posets and acyclic categories.  Author(s)  David Quinn  Type  Article in Journal  Abstract  Acyclic categories were introduced by Kozlov and can be viewed as generalized posets. Similar to posets, one can define their incidence algebras and a related topological complex. We consider the incidence algebra of either a poset or acyclic category as the quotient of a path algebra by the parallel ideal. We show that this ideal has a quadratic Gröbner basis with a lexicographic monomial order if and only if the poset or acyclic category is lexshellable.  ISSN  13406116 
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 URL 
https://www.jstage.jst.go.jp/article/kyushujm/67/1/67_117/_article 
Language  English  Journal  Kyushu J. Math.  Volume  67  Number  1  Pages  117127  Publisher  Kyushu University, Faculty of Mathematics, Fukuoka  Year  2013  Edition  0  Translation 
No  Refereed 
No 
