Linear identities and derivations

Lee, Tsiu-Kwen; Shiue, Wen-Kwei

doi:10.1080/00927870008827027

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2019

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“…The description of nilpotent generalized derivations and some related results were obtained in a recent article by Brešar et al (2004). Other related results can be found in Beidar and Brešar (2000), Lee (2000), Lee and Shiue (2000), and Chuang and Lee (2005b). In this article, we extend the result to the case of q-skew derivations.…”

Section: Introductionmentioning

confidence: 65%

Nilpotency ofq-Skew Derivations

Lee

Liu

2006

Communications in Algebra

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Section: Introductionmentioning

confidence: 65%

Nilpotency ofq-Skew Derivations

Lee

Liu

2006

Communications in Algebra

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Algebraic skew derivations

Chuang

Lee

2012

Journal of Algebra

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On Asano’s theorem

2019

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Let [Formula: see text] be a division algebra over an infinite field [Formula: see text] such that every element of [Formula: see text] is a sum of finitely many algebraic elements. As a generalization of Asano’s theorem, it is proved that every noncentral subspace of [Formula: see text] invariant under all inner automorphisms induced by algebraic elements contains [Formula: see text], the additive subgroup of [Formula: see text] generated by all additive commutators of [Formula: see text]. From the viewpoint we study the existence of normal bases of certain subspaces of division algebras. It is proved among other things that [Formula: see text] is generated by multiplicative commutators as a vector space over the center of [Formula: see text].

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Linear identities and derivations

Cited by 3 publications

References 10 publications

Nilpotency ofq-Skew Derivations

Nilpotency ofq-Skew Derivations

Algebraic skew derivations

On Asano’s theorem

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