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Fundamentalnaya i Prikladnaya Matematika, 2003, Volume 9, Issue 3, Pages 103–109
(Mi fpm736)
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This article is cited in 2 scientific papers (total in 2 papers)
Free nonassociative supercommutative algebras
A. I. Korepanov M. V. Lomonosov Moscow State University
Abstract:
In the present work, we prove that homogeneous subalgebras of free nonassociative supercommutative algebras are free. As a consequence, we show that the group of automorphisms of a free nonassociative supercommutative algebra of finite rank is generated by elementary automorphisms.
Citation:
A. I. Korepanov, “Free nonassociative supercommutative algebras”, Fundam. Prikl. Mat., 9:3 (2003), 103–109; J. Math. Sci., 135:5 (2006), 3336–3340
Linking options:
https://www.mathnet.ru/eng/fpm736 https://www.mathnet.ru/eng/fpm/v9/i3/p103
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