The lattice of R-unipotent congruences on a regular semigroup
type: Item
instance of: scholarly article
title: The lattice of R-unipotent congruences on a regular semigroup
zbMATH Open document ID: 0582.20049
DOI: 10.1007/BF02573190
author: Gracinda M. S. Gomes
published in: Semigroup Forum
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134801
review text: In this paper the lattice RC(S) of all R-unipotent congruences on a regular semigroup S is studied. A relation \(\equiv\) defined by \(\sigma\) \(\equiv \theta\) if and only if \(\sigma |_{E(S)}=\theta |_{E(S)}\) is considered in RC(S). It is proved that on a regular semigroup S, the relation \(\equiv\) in RC(S) is a congruence and that each \(\equiv\)-class is a complete modular sublattice of RC(S). A characterization of the least and the greatest elements of each \(\equiv\)- class is presented.
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M15
Mathematics Subject Classification ID: 06B15
zbMATH DE Number: 3931281
zbMATH Keywords: lattice of R-unipotent congruences
zbMATH Keywords: regular semigroup
zbMATH Keywords: complete modular sublattice
MaRDI profile type: Publication
cites work: Regular semigroup congruences
cites work: R-unipotent congruences on regular semigroups
cites work: Q4126563
cites work: theta-classes in L-unipotent semigroups
cites work: Congruences on inverse semigroups
cites work: Congruences on regular semigroups
cites work: Right (left) inverse semigroups
cites work: On right unipotent semigroups
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description: scientific article; zbMATH DE number 3931281