THE INCIDENCE ALGEBRA OF POSETS AND ACYCLIC CATEGORIES

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概要

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• 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.

• 九州大学大学院数理学研究院の論文

著者

• QUINN David

  Queens University Belfast School of Mathematics and Physics Pure Mathematics Research Centre

関連論文

• THE INCIDENCE ALGEBRA OF POSETS AND ACYCLIC CATEGORIES

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