Idempotent-equivalent congruences on orthodox semigroups
- 1 May 1970
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 11 (2) , 221-241
- https://doi.org/10.1017/s1446788700006418
Abstract
Any congruence on a semigroup S with a nonempty set Es of idempotents induces a partition of the set Es. Two congruences ρ and σ on the semigroup S are defined to be idempotent-equivalent congruences on S if ρ and σ induce the same partition of Es. In this paper we investigate idempotent-equivalent congruences on orthodox semigroups (regular semigroups in which the set of idempotents forms a subsemigroup).Keywords
This publication has 1 reference indexed in Scilit:
- Congruences on regular semigroupsPacific Journal of Mathematics, 1967