Products of ideals may not be Golod
Commutative Algebra
2016-09-13 v2
Abstract
We exhibit an example of a product of two proper monomial ideals such that the residue class ring is not Golod. We also discuss the strongly Golod property for rational powers of monomial ideals, and introduce some sufficient conditions for weak Golodness of monomial ideals. Along the way, we ask some related questions.
Keywords
Cite
@article{arxiv.1506.09129,
title = {Products of ideals may not be Golod},
author = {Alessandro De Stefani},
journal= {arXiv preprint arXiv:1506.09129},
year = {2016}
}
Comments
18 pages, minor changes from first version