Central Extension of Left Alternative Algebras and the Second Cohomology Group

The purpose of this paper is to prove that the second cohomology group H2A,F of a left alternative algebra A over an algebraically closed field F of characteristic 0 can be interpreted as the set of equivalent classes of one-dimensional central extensions of A.

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Bibliographic Details
Main Author: Said Boulmane
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2021/5436464
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