Central Extension of Left Alternative Algebras and the Second Cohomology Group | Zendy

Said Boulmane | Zendy

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Central Extension of Left Alternative Algebras and the Second Cohomology Group

Author(s) -

Said Boulmane

Publication year - 2021

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2021/5436464

Subject(s) - mathematics , algebraically closed field , cohomology , extension (predicate logic) , group cohomology , group (periodic table) , combinatorics , algebra over a field , discrete mathematics , pure mathematics , computer science , programming language , chemistry , organic chemistry

The purpose of this paper is to prove that the second cohomology group H 2 A , 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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