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Generalized Differential Identities of (Semi–)Prime Rings

✍ Scribed by Feng Wei

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
200 KB
Volume
21
Category
Article
ISSN
1439-7617

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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-ǐzed functional identities of degree two.

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✍ K.I. Beidar; Matej Brešar; M.A. Chebotar 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 167 KB

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