The concept of a generalized functional identity GFI with anti automorphisms and derivations is a generalization of the notion of a generalized polynomial ลฝ . ลฝ . identity GPI with anti automorphisms and derivations. In the present paper we show that either a prime ring is GPI or such GFIs have only
On Generalized Functional Identities on Prime Rings
โ Scribed by M.A. Chebotar
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 197 KB
- Volume
- 202
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
In the present paper we study generalized functional identities involving multiadditive functions. Our results simultaneously generalize Martindale's theorem on prime rings with generalized polynomial identities and Bresar's results on general-วzed functional identities of degree two.
๐ SIMILAR VOLUMES
Let A be a prime ring with involution ), let S be the symmetric elements, let K be the skew elements, let Q be the maximal left ring of quotients, x , . . . , x m l 1 m
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. แฎ 1999 Academic Press ร 4 ลฝ . ลฝ .