摘要

Let S be a polynomial ring over a field k and L subset of S a monomial ideal. We give some inequalities on Stanley regularity of monomial ideals. As consequences, we prove that sreg(S)(S/L) <= reg(S)(S/L) and sreg(S)(L) <= reg(S)(L) hold in the following cases: (1) L is a complete intersection; (2) L is an ideal of mixed products.

全文