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- W2894259660 abstract "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 $fp$, with $height fpgeq pd S/I$. 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." @default.
- W2894259660 created "2018-10-05" @default.
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- W2894259660 date "2018-09-29" @default.
- W2894259660 modified "2023-09-27" @default.
- W2894259660 title "On the stable property of projective dimension" @default.
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