Geodesic
On Mizuhara's construction for endomorphs
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 1, pp. 41-54

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We consider Mizuhara's construction for the endomorphs. It is shown that this construction gives almost simple algebras, which are used to construct new examples of simple right-symmetric algebras. To investigate the Mizuhara extensions we give a description of the derivations of the endomorphs constructed on nonunital algebras, which generalizes a result obtained earlier in the unital case.
Keywords: right-symmetric algebra, simple algebra, pre-Lie algebra, endomorph, derivation.
Mots-clés : Mizuhara's construction 
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     title = {On {Mizuhara's} construction for endomorphs},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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     url = {http://geodesic.mathdoc.fr/item/SEMR_2024_21_1_a0/}
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A. P. Pozhidaev. On Mizuhara's construction for endomorphs. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 1, pp. 41-54. http://geodesic.mathdoc.fr/item/SEMR_2024_21_1_a0/