Lattice isomorphisms of free products of inverse semigroups
β Scribed by Peter R Jones
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 553 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We study amalgamated free products in the category of inverse semigroups. Our approach is combinatorial. Graphical techniques are used to relate the structures of the inverse semigroups in a pushout square, and we then examine amalgamated free products. We show that an amalgam of inverse semigroups
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