Derivations in power-associative algebras

Joseph Bayara; André Conseibo; Artibano Micali; Moussa Ouattara

doi:10.3934/dcdss.2011.4.1359

Article Contents

2011, Volume 4, Issue 6: 1359-1370. Doi: 10.3934/dcdss.2011.4.1359

This issue Previous Article Preface Next Article Train algebras of degree 2 and exponent 3

Derivations in power-associative algebras

1.
Université Polytechnique de Bobo-Dioulasso, 01 BP 1091 Bobo-Dioulasso 01
2.
Université de Koudougou, BP 376 Koudougou
3.
Université Montpellier 2, Place Eugène Bataillon, 34095 Montpellier Cedex
4.
Université de Ouagadougou, 03 BP 7021 Ouagadougou

Received: February 28, 2009

Revised: October 31, 2009

Published: November 2011

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Abstract

In this paper we investigate derivations of a commutative power-associative algebra. Particular cases of stable and partially stable algebras are inspected. Some attention is paid to the Jordan case. Further results are given. Especially, we show that the core of a $n^{th}$-order Bernstein algebra which is power-associative is a Jordan algebra.

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Mathematics Subject Classification: Primary: 17A05, 17D92; Secondary: 17A36.

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