On a Class of Lattice Ordered Inverse Se
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Gracinda M.S. Gomes; Emilia Giraldes; Donald B. McAlister
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Article
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2000
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Elsevier Science
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English
⚖ 150 KB
It is well known that the free group on a non-empty set can be totally ordered and, further, that each compatible latttice ordering on a free group is a total ordering. On the other hand, Saitô has shown that no non-trivial free inverse semigroup can be totally ordered. In this note we show, however