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
β¦ LIBER β¦
Normally Ordered Inverse Semigroups
β Scribed by Vitor H. Fernandes
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 226 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0037-1912
No coin nor oath required. For personal study only.
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Isomorphisms between quotient algebras of a given algebra form, under an appropriate multiplication, an inverse semigroup here called the inverse semigroup of bicongruences. This paper determines those normal bands whose inverse semigroups of bicongruences belong to special classes of inverse semigr