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Associative 2-algebras and nonabelian extensions of associative algebras.
- Source :
-
Journal of Homotopy & Related Structures . Mar2024, Vol. 19 Issue 1, p63-77. 15p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study nonabelian extensions of associative algebras using associative 2-algebra homomorphisms. First we construct an associative 2-algebra using the bimultipliers of an associative algebra. Then we classify nonabelian extensions of associative algebras using associative 2-algebra homomorphisms. Finally we analyze the relation between nonabelian extensions of associative algebras and nonabelian extensions of the corresponding commutator Lie algebras. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21938407
- Volume :
- 19
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Homotopy & Related Structures
- Publication Type :
- Academic Journal
- Accession number :
- 175753068
- Full Text :
- https://doi.org/10.1007/s40062-024-00341-w