The stable property of projective dimension
2019 ◽
Vol 18
(12)
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pp. 1950224
Keyword(s):
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.
2012 ◽
Vol 19
(spec01)
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pp. 797-806
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Keyword(s):
2014 ◽
Vol 42
(9)
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pp. 3753-3759
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Keyword(s):
2017 ◽
Vol 27
(06)
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pp. 591-617
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Keyword(s):
2017 ◽
Vol 10
(03)
◽
pp. 1750061
2013 ◽
Vol 57
(3)
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pp. 871-881
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2017 ◽
Vol 45
(12)
◽
pp. 5453-5464
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2019 ◽
Vol 18
(05)
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pp. 1950093
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