Semiprime Rings with Nilpotent Derivatives

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1981 English Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 24, pages 415-421 (issn: 0008-4395, eissn: 1496-4287,

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Authors: Chung, L. O.; Luh, Jiang;

doi: 10.4153/cmb-1981-064-9

Semiprime Rings with Nilpotent Derivatives

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Abstract

There has been a great deal of work recently concerning the relationship between the commutativity of a ring JR and the existence of certain specified derivations of R. Bell, Herstein, Procesei, Schacher, Ligh, Martindale, Putcha, Wilson, and Yaqub [1, 2, 6, 8, 9, 10, 11, 12, 14] have studied conditions on commutators which imply the commutativity of rings.

Keywords

Prime and semiprime associative rings, derivations, commutativity, semi-prime ring, Center, normalizer (invariant elements) (associative rings and algebras), Automorphisms and endomorphisms

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