Stanley conjecture in small embedding dimension

[摘要] We show that Stanley's conjecture holds for a polynomial ring over a field in four variables. In the case of polynomial ring in five variables, we prove that the monomial ideals with all associated primes of height two, are Stanley ideals. (C) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-12-15

[关键词] monomial ideals;prime filtrations;pretty clean filtrations;Stanley ideals