About weak $\pi$-rings
Resumen
As in \cite{J}, a ring is called a weak $\pi$-ring if every regular principal ideal is a finite product of prime ideals.
In this paper, we establish some characterizations for weak $\pi$-rings. Also, we translate the properties weak $\pi$-ring and $(*)$-ring of $A\propto E$ in terms of a commutative ring $A$ and an $A$-module $E$.
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Derechos de autor 2022 Boletim da Sociedade Paranaense de Matemática
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