The lattice of one-sided congruences on an inverse semigroup
نویسندگان
چکیده
Abstract We build on the description of left congruences an inverse semigroup in terms kernel and trace due to Petrich Rankin. The notion for a congruence is developed. Various properties are discussed, particular that full subsemigroup both maps onto $$\cap $$ ? -homomorphisms. It shown determined by its kernel, lattice identified as subset direct product idempotents subsemigroups. demonstrate every finitely generated join minimal idempotent separating congruence. Characterisations given semigroups Noetherian, or such Rees generated.
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ژورنال
عنوان ژورنال: Periodica Mathematica Hungarica
سال: 2022
ISSN: ['0031-5303', '1588-2829']
DOI: https://doi.org/10.1007/s10998-022-00497-z