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چکیده
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We introduce the concept of monomial ideals with stable projective dimension, as a generalization of the Cohen–Macaulay property. Indeed, we study the class of monomial ideals I, whose projective dimension is stable under monomial localizations at monomial prime ideals p, with heightp ≥ pd S/I. We study the relations between this property and other sorts of Cohen–Macaulayness. Finally, we characterize some classes of polymatroidal ideals with stable projective dimension.
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