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Keywords:
$\pi $-domain; almost $\pi $-domain; $\pi $-ring; $d$-prime element
$\pi $-domain; almost $\pi $-domain; $\pi $-ring; $d$-prime element
Summary:
In this paper we establish some conditions for an almost $\pi $-domain to be a $\pi $-domain. Next $\pi $-lattices satisfying the union condition on primes are characterized. Using these results, some new characterizations are given for $\pi $-rings.
References:
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