Semantic Scholar Open Access 2010 1 sitasi

Mathematical Structures Defined by Identities II

Constantin M. Petridi

Abstrak

In our paper arXiv: math.RA/0110333 v1 Oct 2001 we showed that the number of algebras defined by a binary operation satisfying a formally irreducible identity between two n-iterates is O( e^{-n/16}S_{n}^{2} for n --> infinity, S_{n} being the nth-Catalan number. This was proved by using exclusively the series of tableaux A_{n}. By using also the series of tableaux B_{n}, we now sharpen this result to O{(n+2)/n|e^{-n/16}-2/n)|S_{n}^{2}}

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Constantin M. Petridi

Format Sitasi

Petridi, C.M. (2010). Mathematical Structures Defined by Identities II. https://www.semanticscholar.org/paper/62765a5e60dea8f1ea2ae6015e9f3fce3b274b19

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