On the convergence rate of the fraction of simple algebras (Q2217777)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence rate of the fraction of simple algebras |
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On the convergence rate of the fraction of simple algebras (English)
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14 January 2021
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If \(P(S,A{\lg _{\rho ,n}})\) is the fraction of simple \(n\)-element algebras of finite type \(\rho \) containing at least one operation symbol of arity \(k \geqslant 3\), then \(P(S,A{\lg _{\rho ,n}}) \geqslant 1 - \exp ( - {n^{k - 1}} + 2{n^{k - 2}} + n\ln (n))\).
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simple algebras
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probability
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fraction of algebras
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