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Title Monomial ideals with non-pure dual exchange property
Type Presentation
Keywords Componentwise polymatroidal ideals, the non-pure dual exchange property, linear quotients.
Abstract Let I be a monomial ideal. We know that if I has linear quotients, then it has componentwise linear quotients. The converse of this statement is an open question so far. This question still remains open even for the class of componentwise polymatroidal ideals. In this paper, we provide some componentwise polymatroidal ideals with linear quotients.
Researchers Somayeh Bandari (First Researcher)