Computing the Stanley depth

JOURNAL OF ALGEBRA

卷:323

Article

Popescu, Dorin¹  Qureshi, Muhammad Imran² 

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

[2] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan

关键词: Monomial ideals;    Stanley decompositions;    Stanley depth;   

DOI  :  10.1016/j.jalgebra.2009.11.025

来源: Elsevier

【 摘 要 】

Let Q and Q' be two monomial primary ideals of a polynomial algebra S over a field. We give an upper bound for the Stanley depth of S/(Q boolean AND Q') which is reached if Q, Q' are irreducible. Also we show that Stanley's Conjecture holds for Q(1) boolean AND Q. S/(Q(1) boolean AND Q(2) boolean AND Q(3)), (Q(i))(i) being some irreducible monomial ideals of S. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free