Central Extension of Left Alternative Algebras and the Second Cohomology Group

Said Boulmane

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, issue 1

Abstract: 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.

Date: 2021
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https://doi.org/10.1155/2021/5436464

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jijmms:v:2021:y:2021:i:1:n:5436464

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