Minimal Prime Ideals and Semistar Operations

Details Minimal Prime Ideals and Semistar Operations Minimal Prime Ideals and Semistar Operations

2008-09-08

arxiv.org/abs/0809.1307v2

Mathematics

Commutative Algebra

Accepted in the Rocky mountain Journal Math

Scientific paper

Let $R$ be a commutative integral domain and let $\star$ be a semistar
operation of finite type on $R$, and $I$ be a quasi-$\star$-ideal of $R$. We
show that, if every minimal prime ideal of $I$ is the radical of a
$\star$-finite ideal, then the set $\Min(I)$ of minimal prime ideals over $I$
is finite.

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