Geodesic
Finite generatedness of Veronese subalgebras of a free alternative algebra of finite rank
Algebra i logika, Tome 63 (2024) no. 1, pp. 77-88

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that, for any natural $n$, the subalgebra generated by words of length divisible by $n$ on generators (the Veronese $n$-subalgebra) in a free finitely generated alternative algebra is finitely generated.
Mots-clés : Veronese subalgebra
Keywords: free alternative algebra of finite rank. 
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     author = {S. V. Pchelintsev and I. P. Shestakov},
     title = {Finite generatedness of {Veronese} subalgebras of a free alternative algebra of finite rank},
     journal = {Algebra i logika},
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S. V. Pchelintsev; I. P. Shestakov. Finite generatedness of Veronese subalgebras of a free alternative algebra of finite rank. Algebra i logika, Tome 63 (2024) no. 1, pp. 77-88. http://geodesic.mathdoc.fr/item/AL_2024_63_1_a5/