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On Additive Isomorphisms of Prime Rings Preserving Polynomials

โœ Scribed by K.I. Beidar; Y. Fong

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
138 KB
Volume
217
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We study additive isomorphisms of prime rings preserving a multilinear polynomial of degree G 2. Our main theorem generalizes a number of results obtained for Jordan, n-Jordan, Lie, and Lie triple isomorphisms of prime rings. แฎŠ 1999 Academic Press ร„ 4 ลฝ .

ลฝ .

๐Ÿ“œ SIMILAR VOLUMES

Nil Polynomials of Prime Rings
Nil Polynomials of Prime Rings
โœ Chi-Tsuen Yeh; Chen-Lian Chuang ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 153 KB

## ลฝ . 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