Derivations with Engel conditions

on multilinear polynomials

Authors:
Pjek-Hwee Lee and Tsiu-Kwen Lee

Journal:
Proc. Amer. Math. Soc. **124** (1996), 2625-2629

MSC (1991):
Primary 16W25; Secondary 16N60, 16R50, 16U80

DOI:
https://doi.org/10.1090/S0002-9939-96-03351-5

MathSciNet review:
1327023

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a prime algebra over a commutative ring with unity and let be a multilinear polynomial over . Suppose that is a nonzero derivation on such that for all in some nonzero ideal of , with fixed. Then is central--valued on except when char and satisfies the standard identity in 4 variables.

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Additional Information

**Pjek-Hwee Lee**

Affiliation:
Department of Mathematics, National Taiwan University, Taipei, Taiwan

Email:
phlee@math.ntu.edu.tw

**Tsiu-Kwen Lee**

Affiliation:
Department of Mathematics, National Taiwan University, Taipei, Taiwan

Email:
tklee@math.ntu.edu.tw

DOI:
https://doi.org/10.1090/S0002-9939-96-03351-5

Keywords:
Multilinear polynomial,
derivation,
generalized polynomial identity

Received by editor(s):
November 4, 1994

Received by editor(s) in revised form:
March 1, 1995

Communicated by:
Ken Goodearl

Article copyright:
© Copyright 1996
American Mathematical Society