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Take the semigroup ring $\mathbb{Z}S$ where $S=\{ a,b,c \}$$S=${ $a,b,c$} with multiplication $aS=bS=a, cS=c$. The elemwents $a$ and $c$ generate an ideal.
Take the semigroup ring $\mathbb{Z}S$ where $S=\{ a,b,c \}$ with multiplication $aS=bS=a, cS=c$.
Take the semigroup ring $\mathbb{Z}S$ where $S=${ $a,b,c$} with multiplication $aS=bS=a, cS=c$. The elemwents $a$ and $c$ generate an ideal.