English

Toric rings of nonsimple polyominoes

Commutative Algebra 2015-03-17 v1

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".

Keywords

Cite

@article{arxiv.1503.04782,
  title  = {Toric rings of nonsimple polyominoes},
  author = {Akihiro Shikama},
  journal= {arXiv preprint arXiv:1503.04782},
  year   = {2015}
}