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Mathematics > Commutative Algebra

Title: Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals

Abstract: We study some algebraic invariants of $t$-spread ideals, $t\ge 1$, such as the projective dimension and the Castelnuovo-Mumford regularity, by means of well-known graded resolutions. We state upper bounds for these invariants and, furthermore, we identify a special class of t-spread ideals for which such bounds are optimal.
Comments: 26 pages
Subjects: Commutative Algebra (math.AC)
MSC classes: 05E40, 13B25, 13D02, 16W50
Cite as: arXiv:2203.07084 [math.AC]
  (or arXiv:2203.07084v2 [math.AC] for this version)

Submission history

From: Marilena Crupi [view email]
[v1] Mon, 14 Mar 2022 13:14:47 GMT (18kb)
[v2] Wed, 27 Mar 2024 08:40:44 GMT (18kb)

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