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ACS
2015
10 years 2 days ago
Monads of Regular Theories
We characterize the category of monads on Set and the category of Lawvere theories that are equivalent to the category of regular equational theories.
Stanislaw Szawiel, Marek W. Zawadowski
ACS
2015
10 years 2 days ago
Unifying Exact Completions
We define the notion of exact completion with respect to an existential elementary doctrine. We observe that the forgetful functor from the 2category of exact categories to exist...
Maria Emilia Maietti, Giuseppe Rosolini
ACS
2015
10 years 2 days ago
Exponential Kleisli Monoids as Eilenberg-Moore Algebras
Lax monoidal powerset-enriched monads yield a monoidal structure on the category of monoids in the Kleisli category of a monad. Exponentiable objects in this category are identi...
Dirk Hofmann, Frédéric Mynard, Gavin...
ACS
2015
10 years 2 days ago
Association Schemoids and Their Categories
We propose the notion of association schemoids generalizing that of association schemes from small categorical points of view. In particular, a generalization of the Bose-Mesner al...
Katsuhiko Kuribayashi, Kentaro Matsuo