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 [Formula: see text], whose… Click to show full 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 [Formula: see text], whose projective dimension is stable under monomial localizations at monomial prime ideals [Formula: see text], with [Formula: see text]. 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.
Keywords:
dimension stable;
property;
projective dimension;
formula see;
dimension;
see text
Journal Title: Journal of Algebra and Its Applications
Year Published: 2019
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Journal Title: Journal of Algebra and Its Applications
Year Published: 2019
Link to full text (if available)
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recommendations!