Commutative ring detail


Name: Kasch not semilocal ring

Description: Let $M$ be the direct sum of $\mathbb Z/p_i\mathbb Z$ where $p_i$ is the $i$'th prime. The ring $R$ is the trivial extension of $M$ by $\mathbb Z$: $\mathbb Z\times M$ with the multiplication operation $(n,a)(m,b):=(nm,nb+ma)$

Notes: Krull dimension $1$.

Keywords trivial extension

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