Left derivations characterized by acting on multilinear polynomials

Pao Kuei Liau, Cheng-Kai Liu

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

For prime algebras, we describe a linear map which behaves like a left derivation on a fixed multilinear polynomial in noncommuting indeterminates and, in particular, we characterize left derivations by their action on mth powers.

Original languageEnglish
Pages (from-to)1979-1991
Number of pages13
JournalCommunications in Algebra
Volume39
Issue number6
DOIs
Publication statusPublished - 2011 Jun 1

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Linear map
Algebra
Polynomial

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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abstract = "For prime algebras, we describe a linear map which behaves like a left derivation on a fixed multilinear polynomial in noncommuting indeterminates and, in particular, we characterize left derivations by their action on mth powers.",
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Left derivations characterized by acting on multilinear polynomials. / Liau, Pao Kuei; Liu, Cheng-Kai.

In: Communications in Algebra, Vol. 39, No. 6, 01.06.2011, p. 1979-1991.

Research output: Contribution to journalArticle

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