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Solvability of (−1, 1) nil rings

✍ Scribed by R.É Roomel'di

Publisher: Springer US
Year: 1973
Tongue: English
Weight: 344 KB
Volume: 12
Category: Article
ISSN: 0002-5232
DOI: 10.1007/bf02218575

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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

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