Toric rings of nonsimple polyominoes

2015/03/16 by Akihiro Shikama, Shikama, Akihiro
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC

paper · pdf · doi:10.48550/arxiv.1503.04782

arxiv created 2015/03/16 · arxiv updated 2015/03/17

Abstract

It is known that toric ring of a simple polyomino is ring homomorphic to a edge ring of a weakly chordal bipartite graph. In this paper we identify the toric ring of nonsimple polyominoes which are of the form "rectangle minus rectangle".

Related

• Toric representations of algebras defined by certain nonsimple polyominoes
• Simple Polyominoes are Prime
• Toric rings, inseparability and rigidity
• Toric rings of perfectly matchable subgraph polytopes
• Three families of toric rings arising from posets or graphs with small class groups