Stanley conjecture in small embedding dimension |
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| Authors: | Imran Anwar Dorin Popescu |
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| Institution: | aSchool of Mathematical Sciences, 68-B New Muslim Town, Lahore, Pakistan;bInstitute of Mathematics “Simion Stoilow”, University of Bucharest, PO Box 1-764, Bucharest 014700, Romania |
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| Abstract: | 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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| Keywords: | Monomial ideals Prime filtrations Pretty clean filtrations Stanley ideals |
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