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- Title
Associative 2-algebras and nonabelian extensions of associative algebras.
- Authors
Sheng, Yunhe; Wang, You
- 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.
- Subjects
LIE algebras; ASSOCIATIVE algebras; NONABELIAN groups; HOMOMORPHISMS; COMMUTATION (Electricity)
- Publication
Journal of Homotopy & Related Structures, 2024, Vol 19, Issue 1, p63
- ISSN
2193-8407
- Publication type
Article
- DOI
10.1007/s40062-024-00341-w