Article contents
Semimodularity and bisimple ω-semigroups
Published online by Cambridge University Press: 20 January 2009
Extract
Let S be a completely 0-simple semigroup and let Λ(S) be the lattice of congruences on S. G. Lallement (2) has described necessary and sufficient conditions on S for Λ(S) to be modular, and has shown that Λ(S) is always semimodular . This result may be stated: If S is 0-bisimple and contains a primitive idempotent, then Λ(S) is semimodular.
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 1970
References
REFERENCES
- 3
- Cited by