Nonsimple polyominoes and prime ideals

Abstract

It is known that the polyomino ideal of a simple polyomino is a prime ideal. A new class of nonsimple polyominoes $\Pc$ for which the polyomino ideal $I_{\Pc}$ is a prime ideal will be presented.

References in corpus (2)

• Ideals generated by 2-minors, collection of cells and stack polyominoes
• Simple Polyominoes are Prime

Cited by in corpus (1)

• On Gröbner bases and Cohen-Macaulay property of closed path polyominoes