Stanley depth of quotient of monomial complete intersection ideals

Abstract

We compute the Stanley depth for a particular, but important case, of the quotient of complete intersection monomial ideals. Also, in the general case, we give sharp bounds for the Stanley depth of a quotient of complete intersection monomial ideals. In particular, we prove the Stanley conjecture for quotients of complete intersection monomial ideals.

7 pages, accepted for publication in Communications in Algebra

References in corpus (1)

• Stanley Decompositions, Pretty Clean Filtrations and Reductions Modulo Regular Elements

Cited by in corpus (2)

• On the Stanley depth of edge ideals of line and cyclic graphs
• On the Stanley depth of powers of some classes of monomial ideals