About weak $\pi$-rings
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 commutativ...
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Format: | Article |
Language: | English |
Published: |
Sociedade Brasileira de Matemática
2022-12-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51014 |
Summary: | 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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ISSN: | 0037-8712 2175-1188 |