Nilpotency of q-skew derivations

Tsiu Kwen Lee; Cheng-Kai Liu

doi:10.1080/00927870500387929

Nilpotency of q-skew derivations

Tsiu Kwen Lee, Cheng-Kai Liu

Department of Mathematics

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

Let R be a prime algebra of characteristic not 2, and let d be a q -skew s-derivation of R. We show that if d 2 n = 0 and q n ? -1, then d 2 n -1 = 0.

Original language	English
Pages (from-to)	661-669
Number of pages	9
Journal	Communications in Algebra
Volume	34
Issue number	2
DOIs	https://doi.org/10.1080/00927870500387929
Publication status	Published - 2006 Jan 1

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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title = "Nilpotency of q-skew derivations",

abstract = "Let R be a prime algebra of characteristic not 2, and let d be a q -skew s-derivation of R. We show that if d 2 n = 0 and q n ? -1, then d 2 n -1 = 0.",

author = "Lee, {Tsiu Kwen} and Cheng-Kai Liu",

year = "2006",

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AU - Liu, Cheng-Kai

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N2 - Let R be a prime algebra of characteristic not 2, and let d be a q -skew s-derivation of R. We show that if d 2 n = 0 and q n ? -1, then d 2 n -1 = 0.

AB - Let R be a prime algebra of characteristic not 2, and let d be a q -skew s-derivation of R. We show that if d 2 n = 0 and q n ? -1, then d 2 n -1 = 0.

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