Affiliation:
1. University of Catania
2. Islamic Azad University
Abstract
Let $K$ be a field and $K[x_1,x_{2}]$ the polynomial ring in two
variables over $K$ with each $x_i$ of degree $1$. Let $L$ be the
generalized mixed product ideal induced by a monomial ideal
$I\subset K[x_1,x_2]$, where the ideals substituting the monomials
in $I$ are squarefree Veronese ideals. In this paper, we study the
integral closure of $L$, and the normality of $\mathcal{R}(L)$, the
Rees algebra of $L$. Furthermore, we give a geometric description of
the integral closure of $\mathcal{R}(L)$.
Publisher
The International Electronic Journal of Algebra
Subject
Algebra and Number Theory
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