Characterizations of 0-simple ordered semigroups (Q2707041)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizations of 0-simple ordered semigroups |
scientific article |
Statements
23 October 2001
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0-simple ordered semigroup
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Characterizations of 0-simple ordered semigroups (English)
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The authors follow the terminology given by A. H. Clifford and G. B. Preston for algebraic semigroups. An ordered semigroup with 0 is called 0-simple if \(S^{2}=\{0\} \) and if the sets \(\{0\} \) and \(S\) are the only ideals of \(S\). In this paper the authors give a similar characterization of \(0\)-simple ordered semigroups and some equivalent characterizations arising as corollaries.
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