Rings decomposed into direct sums of J-rings and nil rings

Let R be a ring (not necessarily with identity) and let E denote the set of idempotents of R. We prove that R is a direct sum of a J-ring (every element is a power of itself) and a nil ring if and only if R is strongly π-regular and E is contained in some J-ideal of R. As a direct consequence of thi...

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Bibliografske podrobnosti

Glavni avtor:	Hisao Tominaga
Format:	Artigo
Jezik:	Inglês
Izdano:	Wiley 1985-01-01
Serija:	International Journal of Mathematics and Mathematical Sciences
Teme:	periodic potent J-ring nil ring strongly π-regular ring direct sum.
Online dostop:	http://dx.doi.org/10.1155/S0161171285000230
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