Stanley conjecture in small embedding dimension

JOURNAL OF ALGEBRA

卷:318

Article

Anwar, Imran²  Popescu, Dorin¹ 

[1] Univ Bucharest, Inst Math Sim Stoilow, Bucharest 014700, Romania

[2] Sch Math Sci, Lahore, Pakistan

关键词: monomial ideals;    prime filtrations;    pretty clean filtrations;    Stanley ideals;   

DOI  :  10.1016/j.jalgebra.2007.06.005

来源: Elsevier

【 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.

【 授权许可】

Free