\(n\)-ary \(\Gamma\)-semigroups, operators and Green's relations. (Q471598)
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scientific article; zbMATH DE number 6369950
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(n\)-ary \(\Gamma\)-semigroups, operators and Green's relations. |
scientific article; zbMATH DE number 6369950 |
Statements
\(n\)-ary \(\Gamma\)-semigroups, operators and Green's relations. (English)
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17 November 2014
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The notion of \(n\)-ary \(\Gamma\)-semigroup (\(n\)-ary \(\Gamma\)-group) as a natural generalization of \(n\)-ary semigroup (\(n\)-ary group) and \(\Gamma\)-semigroup (\(\Gamma\)-group) is introduced and studied. Many examples and some basic properties are obtained. Further, the concepts of Green's equivalence relations on an \(n\)-ary \(\Gamma\)-semigroup and the operators of an \(n\)-ary \(\Gamma\)-semigroup are defined and investigated.
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\(n\)-ary semigroups
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\(n\)-ary \(\Gamma\)-semigroups
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\(n\)-ary \(\Gamma\)-groups
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Green relations
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0.9284584
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0.92097646
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0.9130412
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0.90456825
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