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An associative operator on the lattice of varieties of inverse semigroups

✍ Scribed by David Cowan

Publisher: Springer
Year: 1992
Tongue: English
Weight: 669 KB
Volume: 45
Category: Article
ISSN: 0037-1912
DOI: 10.1007/bf03025771

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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