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Effective equivalence relations and principal quantales
release_5sbkvsailbejhnzyehtx4wjeou
by
Juan Pablo Quijano, Pedro Resende
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2018
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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1807.08979v1
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