Toric representations of algebras defined by certain nonsimple polyominoes

2015/11/13 by Akihiro Shikama, Shikama, Akihiro
Mathematics · #05E40 #13C05 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:05E40 #msc:13C05

paper · pdf · doi:10.48550/arxiv.1511.04204

arxiv created 2015/12/20 · arxiv updated 2015/12/22

Abstract

In this paper we give a toric representation of the associated ring of a polyomino which is obtained by removing a convex polyomino from its ambient rectangle.

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• Toric rings of nonsimple polyominoes
• Toric rings, inseparability and rigidity
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• Simple Polyominoes are Prime
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