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Prime alternative rings, I

✍ Scribed by M Slater

Publisher: Elsevier Science
Year: 1970
Tongue: English
Weight: 792 KB
Volume: 15
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(70)90075-x

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## Ž . I RESULT Let R be an associative ring. An element r g R is said to be nilpotent if r n s 0 for some integer n G 1. A subset S of R is called nil if all r g S are nilpotent. It is easy to see that R has no nil right ideals if and only if R has no nil left ideals. Nil right ideals or nil left