On the relations of isotonian algebras

Abstract

It is shown that for large classes of posets $P$ and $Q$, the defining ideal $J_{P,Q}$ of an isotonian algebras is generated by squarefree binomials. Within these classes, those posets are classified for which $J_{P,Q}$ is quadratically generated.

References in corpus (2)

• Letterplace and co-letterplace ideals of posets
• Algebraic properties of ideals of poset homomorphisms