Bull. Math. Soc. Sci. Math. Roumanie


Dorin Popescu: Extremal Betti numbers and regularity of Borel type ideals, p.63-70
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Dorin Popescu: Extremal Betti numbers and regularity of Borel type ideals, p. 63-70

Abstract:

We note that there exists a linear bound for the regularity of p -Borel ideals. Also we see that the extremal Betti numbers and the regularity of the Borel type ideals do not depend on the characteristic of the basis field.

Key Words: monomial ideals, initial ideals, sequentially Cohen-Macaulay, Betti numbers, regularity.
2000 Mathematics Subject Classification: Primary: 13P10, Secondary: 13D02,13H10,13D45.