Vertex cover algebras of simplicial multicomplexes
Mircea Cimpoeas
TL;DR
This paper introduces vertex cover algebras for weighted simplicial multicomplexes, explores their fundamental properties, and characterizes cases with a single maximal facet, establishing finite generation.
Contribution
It defines vertex cover algebras for weighted simplicial multicomplexes and analyzes their properties, including finite generation in specific cases.
Findings
Vertex cover algebras are well-defined for weighted simplicial multicomplexes.
These algebras have fundamental properties proven in the paper.
They are finitely generated when the multicomplex has only one maximal facet.
Abstract
We define vertex cover algebras for weighted simplicial multicomplexes and prove basics properties of them. Also, we describe these algebras for multicomplexes which have only one maximal facet and we prove that they are finitely generated.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Commutative Algebra and Its Applications