Generalized derivations with nilpotent values on multilinear polynomials

Jer Shyong Lin, Cheng Kai Liu

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Let R be a prime ring without nonzero nil one-sided ideals. Suppose that g is a generalized derivation of R and that f(X1, ..., Xk) is a multilinear polynomial not central-valued on R such that g(f(x1, ..., Xk)) is nilpotent for all x1, ..., Xk in some nonzero ideal of R. Then g = 0.

Original languageEnglish
Pages (from-to)1183-1192
Number of pages10
JournalTaiwanese Journal of Mathematics
Volume10
Issue number5
DOIs
Publication statusPublished - 2006 Jan 1

Fingerprint

Generalized Derivation
Prime Ring
Nil
Polynomial

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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abstract = "Let R be a prime ring without nonzero nil one-sided ideals. Suppose that g is a generalized derivation of R and that f(X1, ..., Xk) is a multilinear polynomial not central-valued on R such that g(f(x1, ..., Xk)) is nilpotent for all x1, ..., Xk in some nonzero ideal of R. Then g = 0.",
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Generalized derivations with nilpotent values on multilinear polynomials. / Lin, Jer Shyong; Liu, Cheng Kai.

In: Taiwanese Journal of Mathematics, Vol. 10, No. 5, 01.01.2006, p. 1183-1192.

Research output: Contribution to journalArticle

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AU - Liu, Cheng Kai

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