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Algebras of monad of polynomials over commutative rings

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#commutative-algebra #category-theory #solution-verification #monads
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Algebras of double dual monad

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#commutative-algebra #category-theory #monads
168
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Right adjoint of a monad is a comonad

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#category-theory #algebras #monads #coalgebras
793
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Group freely generated by monoid

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#group-theory #category-theory #free-groups #monoid #monads
199
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Is direct limit created by the forgetful functor from an Eilenberg-Moore algebra

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#commutative-algebra #category-theory #limits-colimits #monads #forgetful-functors
69
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Constructing a new category from a monad

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#category-theory #monads
454
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Adjunction between a comonad and a monad

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#category-theory #adjoint-functors #monads
289
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How to dualize a theorem by Eilenberg and Moore about monad, comonad and adjunction?

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#category-theory #duality-theorems #adjoint-functors #monads
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Understanding the Giry monad

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#probability-theory #category-theory #monads
54
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Unique extension of a map from $X$ to a map from the free algebra

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#logic #category-theory #monads
272
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Two notions of modules over a monad

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#category-theory #monads
87
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Creation of limits and diagram chasing

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#category-theory #limits-colimits #monads #diagram-chasing
80
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Dualizing 2-categorical results in the context of locally small categories

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#category-theory #duality-theorems #adjoint-functors #monads #2-categories
307
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Does the embedding of the Kleisli category of a monad into its Eilenberg-Moore category have a right adjoint?

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#category-theory #adjoint-functors #monads
307
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Kleisli adjunction in a (weak) 2-category

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#category-theory #adjoint-functors #monads #2-categories

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