English

The coordinate ring of a simple polyomino

Commutative Algebra 2014-08-20 v1 Combinatorics

Abstract

In this paper it is shown that a polyomino is balanced if and only if it is simple. As a consequence one obtains that the coordinate ring of a simple polyomino is a normal Cohen-Macaulay domain.

Cite

@article{arxiv.1408.4275,
  title  = {The coordinate ring of a simple polyomino},
  author = {Juergen Herzog and Sara Saeedi Madani},
  journal= {arXiv preprint arXiv:1408.4275},
  year   = {2014}
}

Comments

14 pages, 12 figures

R2 v1 2026-06-22T05:33:11.754Z