Aczélian \(n\)-ary semigroups (Q1758230)
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| Language | Label | Description | Also known as |
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| English | Aczélian \(n\)-ary semigroups |
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Aczélian \(n\)-ary semigroups (English)
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8 November 2012
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The concept of \(n\)-ary semigroups is a generalization of the concept of ordinary semigroups. In this paper, the authors show that real continuous, symmetric and cancellative \(n\)-ary semigroups are topologically order-isomorphic to additive real \(n\)-ary semigroups. The ordinary case (\(n=2\)) was originally proved by Aczél; there, symmetry was redundant.
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\(n\)-ary semigroup
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Aczélian semigroup
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cancellativity
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continuity
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