Planar trees, free nonassociative algebras, invariants, and elliptic integrals

We consider absolutely free algebras with (maybe infinitely) many multilinear operations. Such multioperator algebras were introduced by Kurosh in 1960. Multioperator algebras satisfy the Nielsen-Schreier property and subalgebras of free algebras are also free. Free multioperator algebras are descri...

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Published in:Algebra and Discrete Mathematics
Date:2008
Main Authors: Drensky, V., Holtkamp, R.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2008
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/152390
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Planar trees, free nonassociative algebras, invariants, and elliptic integrals / V. Drensky, R. Holtkamp // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 1–41. — Бібліогр.: 48 назв. — англ

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Digital Library of Periodicals of National Academy of Sciences of Ukraine