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Title Some properties of polymatroidal ideals
Type Presentation
Keywords Polymatroidal ideals, Linear quotients, Regular decomposition function, Generic ideals, Generalized Cohen-Macaulay
Abstract In this paper, the class of polymatroidal ideals are studied. In particular, we show that any polyma- troidal ideal has a regular decomposition function. We also characterize generic polymatroidal ideals and polymatroidal ideals which all their powers are generalized Cohen-Macaulay.
Researchers Hossein Sabzrou (Second Researcher), Somayeh Bandari (First Researcher)