Ideals with linear quotients in Segre products
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 wi...
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Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2017-01-01
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Series: | Opuscula Mathematica |
Subjects: | |
Online Access: | http://www.opuscula.agh.edu.pl/vol37/6/art/opuscula_math_3744.pdf |
Summary: | 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. |
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ISSN: | 1232-9274 |