quasicyclic ring

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Artinian module — In abstract algebra, an Artinian module is a module that satisfies the descending chain condition on its submodules. They are for modules what Artinian rings are for rings, and a ring is Artinian if and only if it is an Artinian module over… … Wikipedia
Divisible group — In mathematics, especially in the field of group theory, a divisible group is an abelian group in which every element can, in some sense, be divided by positive integers, or more accurately, every element is an nth multiple for each positive… … Wikipedia
Prüfer group — In mathematics, specifically group theory, the Prüfer p group or the p quasicyclic group or p infin; group, Z( p infin;), for a prime number p is the unique torsion group in which every element has p p th roots.*The Prüfer p group may be… … Wikipedia

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