Article contents
Residuated regular semigroups
Published online by Cambridge University Press: 20 January 2009
Abstract
We prove that in a residuated regular semigroup the elements of the form and are idempotents, and derive some consequences of this fact. In particular, we show how the maximality of such idempotents is related to the semigroup being naturally ordered, and obtain from this a characterisation of the boot-lace semigroup of [2].
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 3 , October 1992 , pp. 501 - 509
- Copyright
- Copyright © Edinburgh Mathematical Society 1992
References
REFERENCES
- 3
- Cited by