Ideals with linear quotients in Segre products | Zendy

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Ideals with linear quotients in Segre products

Author(s) -

Gioia Failla

Publication year - 2017

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2017.37.6.829

Subject(s) - mathematics , square free integer , monomial , polynomial ring , quotient , ring (chemistry) , quotient ring , product (mathematics) , class (philosophy) , field (mathematics) , intersection (aeronautics) , polynomial , complete intersection , pure mathematics , combinatorics , discrete mathematics , mathematical analysis , geometry , chemistry , organic chemistry , artificial intelligence , aerospace engineering , computer science , engineering

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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