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5 votes

What algebraic structure controls endomorphisms of algebras over a Lawvere theory

The answer is yes. For every Lawvere theory $T$, there is a Lawvere theory whose algebras are endomorphisms of $T$-algebras. I'll show this by passing through the category of PROPs. Note first that ev …
David White's user avatar
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1 vote

Category of multisorted Lawvere's theories

A definition can be found in 4.1 (page 8) of Charles Rezk's paper "Every Homotopy Theory of Simplicial Algebras Admits a Proper Model." The category of $J$-sorted theory is the category of monoids in …
David White's user avatar
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