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

Hisao Tominaga

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-3

Abstract:

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 this result, the main theorem of [1] follows.

Date: 1985
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/8/916343.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/8/916343.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:916343

DOI: 10.1155/S0161171285000230

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().