English

On the relations of isotonian algebras

Commutative Algebra 2016-09-05 v1

Abstract

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

Keywords

Cite

@article{arxiv.1609.00595,
  title  = {On the relations of isotonian algebras},
  author = {Jürgen Herzog and Ayesha Asloob Qureshi and Akihiro Shikama},
  journal= {arXiv preprint arXiv:1609.00595},
  year   = {2016}
}