Pairs of Adjoint Functors between Functor Categories

Categories ◽  
1972 ◽  
pp. 188-220
Author(s):  
Horst Schubert
Keyword(s):  
Adjoint Functors ◽  
Functor Categories

scholarly journals Purity in functor categories

1968 ◽  
Vol 8 (3) ◽  
pp. 352-361 ◽  
Author(s):  
Bo Stenström
Keyword(s):  
Functor Categories

scholarly journals Closed categories generated by commutative monads

1971 ◽  
Vol 12 (4) ◽  
pp. 405-424 ◽  
Author(s):  
Anders Kock
Keyword(s):  
Adjoint Functors ◽  
Closed Category ◽  
Base Category

The notion of commutative monad was defined by the author in [4]. The content of the present paper may briefly be stated: The category of algebras for a commutative monad can in a canonical way be made into a closed category, the two adjoint functors connecting the category of algebras with the base category are in a canonical way closed functors, and the front- and end-adjunctions are closed transformations. (The terms ‘Closed Category’ etc. are from the paper [2] by Eilenberg and Kelly). In particular, the monad itself is a ‘closed monad’; this fact was also proved in [4].

scholarly journals Filtered $$cA_\infty $$ c A ∞ -Categories and Functor Categories

2018 ◽  
Vol 26 (5) ◽  
pp. 943-996
Author(s):  
Olivier De Deken ◽  
Wendy Lowen
Keyword(s):  
Functor Categories
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