We establish that the Segre product between a polynomial ring on a field K in m variables and the second squarefree Veronese subalgebra of a polynomial ring on K in n variables has the intersection degree equal to three. We describe a class of monomial ideals of the Segre product with linear quotients.

Ideals with linear quotients in Segre products

FAILLA, Gioia
2017-01-01

Abstract

We establish that the Segre product between a polynomial ring on a field K in m variables and the second squarefree Veronese subalgebra of a polynomial ring on K in n variables has the intersection degree equal to three. We describe a class of monomial ideals of the Segre product with linear quotients.
2017
monomial algebras, graded ideals, linear resolutions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/1556
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