Semigroups with \(n+1\) distinct essentially \(n\)-ary term operations (Q699913)
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scientific article; zbMATH DE number 1807991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semigroups with \(n+1\) distinct essentially \(n\)-ary term operations |
scientific article; zbMATH DE number 1807991 |
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Semigroups with \(n+1\) distinct essentially \(n\)-ary term operations (English)
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25 September 2002
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In the paper all semigroups without algebraic constants that have exactly \(n+1\) different essentially \(n\)-ary term operations for every positive integer \(n\) are characterized. It is proved that there are exactly two different varieties containing such semigroups.
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semigroups
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quasi-idempotent groupoids
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universal algebra
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symmetry groups of term operations
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\(p_n\)-sequences
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varieties of algebras
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free algebras
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essentially \(n\)-ary term operations
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0.8999489
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0.8943571
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0.8930454
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0.8787487
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