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arXiv · 1807.08979

Effective equivalence relations and principal quantales

Juan Pablo Quijano·Pedro Resende
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Abstract

Stably supported quantales generalize pseudogroups and provide an algebraic context in which to study the correspondences between inverse semigroups and \'etale groupoids. Here we study a further generalization where a non-unital version of supported quantale carries the algebraic content of such correspondences to the setting of open groupoids. A notion of principal quantale is introduced which, in the case of groupoid quantales, corresponds precisely to effective equivalence relations.

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Juan Pablo Quijano, Pedro Resende. 2018-07-24. Effective equivalence relations and principal quantales. https://doi.org/10.1007/s00233-019-09994-z

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