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Non-associative algebras containing the matrix ring

✍ Scribed by Jongwoo Lee; Ki-Bong Nam

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
121 KB
Volume
429
Category
Article
ISSN
0024-3795

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Generalizations of the series exp and log to noncommutative non-associative and other types of algebras were considered by M. Lazard, and recently by V. Drensky and L. Gerritzen. There is a unique power series exp(x) in one non-associative variable x such that exp(x) exp(x) = exp(2x), exp (0) = 1.