### Abstract

If S is a regular semigroup then an inverse transversal of S is an inverse subsemigroup S° that contains precisely one inverse x° of each x ∈ S. Here we describe, for every congruence π on S° that can be extended to S, the smallest extension of π. We also describe the idempotent separating congruences on S.

Original language | English |
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Pages (from-to) | 889-898 |

Number of pages | 10 |

Journal | Communications in Algebra |

Volume | 26 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Dec 1998 |