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Discrete dualities for groupoids
Düntsch, Ivo
Orłowska, Ewa
2021
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e-ISSN
2464-8728
Abstract
We present discrete dualities for groupoid-based algebras and their associated frames starting from a plain groupoid and then expanding step by step its signature and/or axioms assuming existence of a compatible partial ordering, commutativity, associativity, idempotency, existence of the identity element, and existence of left and right residuals of the groupoid operator. In the final section we present a brief overview of lattice-ordered groupoids and provide hints how to obtain discrete dualities for these from the dualities established in the preceding sections and relevant results in the literature.
Publisher
EUT Edizioni Università di Trieste
Source
Ivo Düntsch, Ewa Orłowska, "Discrete dualities for groupoids" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)", EUT Edizioni Università di Trieste, Trieste, 2021. pp.
Languages
en
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