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On a Class of Dubreil-Jacotin Semigroups

✍ Scribed by Huawei Huang; Chunhua Li; Yongqian Zhu; Xiaoping Li

Publisher
Springer
Year
2005
Tongue
English
Weight
314 KB
Volume
70
Category
Article
ISSN
0037-1912

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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, SaitΓ΄ has shown that no non-trivial free inverse semigroup can be totally ordered. In this note we show, however