The Kernel-trace Approach to Right Congruences on an Inverse Semigroup

Abstract

A kernel-trace description of right congruences on an inverse semigroup is developed. It is shown that the trace mapping is a complete nhomomorphism but not a V-homomorphism. However, the trace classes are intervals in the complete lattice of right congruences. In contrast, each kernel class has a maximum element, namely the principal right congruence on… (More)

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Cite this paper

@inproceedings{Petrich2009TheKA, title={The Kernel-trace Approach to Right Congruences on an Inverse Semigroup}, author={Mario Petrich and Stuart S Rankin}, year={2009} }