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arxiv: math/0702728 · v1 · pith:ZHH43F5Hnew · submitted 2007-02-24 · 🧮 math.AC

Stanley Conjecture in small embedding dimension

classification 🧮 math.AC
keywords stanleyconjectureidealspolynomialringvariablesassociatedcase
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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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