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Generalized Functional Identities with (Anti-)Automorphisms and Derivations on Prime Rings, I

✍ Scribed by K.I. Beidar; Matej Brešar; M.A. Chebotar


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
167 KB
Volume
215
Category
Article
ISSN
0021-8693

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✦ Synopsis


The concept of a generalized functional identity GFI with anti automorphisms and derivations is a generalization of the notion of a generalized polynomial Ž . Ž . 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 the ''obvious'' solutions. Our results simultaneously generalize the results of Martindale, Rowen, Lanski, Kharchenko, and Chuang on GPIs and a number of earlier results on GFIs.