By Stephen Lack and Jiri Rosicky

Categorical universal algebra can be developed either using Lawvere theories (single-sorted finite product theories) or using monads, and the category of Lawvere theories is equivalent to the category of finitary monads on Set. We show how this equivalence, and the basic results of universal algebra, can be generalized in three... Show more

October 14, 2009

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Notions of Lawvere theory

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