On the axiomatisation of Boolean categories with and without medial.
Strassburger, Lutz (2007)
Theory and Applications of Categories [electronic only]
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Strassburger, Lutz (2007)
Theory and Applications of Categories [electronic only]
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Georgian Mathematical Journal
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Patrick Dehornoy (2009)
Annales mathématiques Blaise Pascal
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In connection with the emerging theory of Garside categories, we develop the notions of a left-Garside category and of a locally left-Garside monoid. In this framework, the relationship between the self-distributivity law LD and braids amounts to the result that a certain category associated with LD is a left-Garside category, which projects onto the standard Garside category of braids. This approach leads to a realistic program for establishing the Embedding Conjecture of [Dehornoy,...