Stanley Conjecture in small embedding dimension

Details Stanley Conjecture in small embedding dimension Stanley Conjecture in small embedding dimension

2007-02-24

arxiv.org/abs/math/0702728v1

Journal of Algebra 318 (2007) 1027--1031

Mathematics

Commutative Algebra

5 pages

Scientific paper

10.1016/j.jalgebra.2007.06.005

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.

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