Generalized morphisms of abelian m-ary groups

Alexander M. Gal'mak

Displaying similar documents to “Generalized morphisms of abelian m-ary groups”

Very Decomposable Abelian Groups.

Martin Ziegler, Rüdiger Göbel (1988/89)

Mathematische Zeitschrift

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Almost Abelian rings

Junchao Wei (2013)

Communications in Mathematics

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A ring $R$ is defined to be left almost Abelian if $a e = 0$ implies $a R e = 0$ for $a \in N (R)$ and $e \in E (R)$ , where $E (R)$ and $N (R)$ stand respectively for the set of idempotents and the set of nilpotents of $R$ . Some characterizations and properties of such rings are included. It follows that if $R$ is a left almost Abelian ring, then $R$ is $π$ -regular if and only if $N (R)$ is an ideal of $R$ and $R / N (R)$ is regular. Moreover it is proved that (1) $R$ is an Abelian ring if and only if $R$ is a left almost Abelian left idempotent reflexive ring. (2) $R$ ...