Vol. 57, No. 1, 1975

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ISSN: 0030-8730
The lattice of congruences on an inverse semigroup

David G. Green

Vol. 57 (1975), No. 1, 141–152
Abstract

The symmetry between four congruences which have figured in the literature on inverse semigroups is discussed in terms of kernels and restrictions to idempotents (kernel meaning the set of elements equivalent to idempotents). A characterization of arbitrary inverse semigroup congruences is developed from this symmetry.

Mathematical Subject Classification 2000
Primary: 20M10
Milestones
Received: 25 February 1974
Published: 1 March 1975
Authors
David G. Green