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Results tagged with ideals
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user 91656
5
votes
A property of minimal prime ideals in commutative reduced ring
Let $R$ be a reduced ring, $Min(R)$ its space of minimal prime ideals, and $q(R)$ its classical quotient ring.
Theorem The following are equivalent.
$q(R)$ is von Neumann regular. … $Min (R)$ is compact and whenever a f.g. ideal is contained in the union of minimal prime ideals, then it is contained in one them. …
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