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Central Extension of Left Alternative Algebras and the Second Cohomology Group

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  • Said Boulmane
  • Sergejs Solovjovs

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.

Suggested Citation

  • Said Boulmane & Sergejs Solovjovs, 2021. "Central Extension of Left Alternative Algebras and the Second Cohomology Group," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2021, pages 1-3, July.
    • Handle: RePEc:hin:jijmms:5436464
    DOI: 10.1155/2021/5436464
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