Displaying 201 – 220 of 834

Showing per page

Connexité locale

Daniel Tanre (1974)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Coproducts of ideal monads

Neil Ghani, Tarmo Uustalu (2004)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

The question of how to combine monads arises naturally in many areas with much recent interest focusing on the coproduct of two monads. In general, the coproduct of arbitrary monads does not always exist. Although a rather general construction was given by Kelly [Bull. Austral. Math. Soc. 22 (1980) 1–83], its generality is reflected in its complexity which limits the applicability of this construction. Following our own research [C. Lüth and N. Ghani, Lect. Notes Artif. Intell. 2309 (2002) 18–32],...

Coproducts of Ideal Monads

Neil Ghani, Tarmo Uustalu (2010)

RAIRO - Theoretical Informatics and Applications

The question of how to combine monads arises naturally in many areas with much recent interest focusing on the coproduct of two monads. In general, the coproduct of arbitrary monads does not always exist. Although a rather general construction was given by Kelly  [Bull.  Austral. Math. Soc.22 (1980) 1–83], its generality is reflected in its complexity which limits the applicability of this construction. Following our own research [C. Lüth and N. Ghani, Lect. Notes Artif. Intell.2309 (2002)...

Cotorsion pairs in comma categories

Yuan Yuan, Jian He, Dejun Wu (2024)

Czechoslovak Mathematical Journal

Let 𝒜 and be abelian categories with enough projective and injective objects, and T : 𝒜 a left exact additive functor. Then one has a comma category ( T ) . It is shown that if T : 𝒜 is 𝒳 -exact, then ( 𝒳 , 𝒳 ) is a (hereditary) cotorsion pair in 𝒜 and ( 𝒴 , 𝒴 ) ) is a (hereditary) cotorsion pair in if and only if 𝒳 𝒴 , 𝐡 ( 𝒳 , 𝒴 ) ) is a (hereditary) cotorsion pair in ( T ) and 𝒳 and 𝒴 are closed under extensions. Furthermore, we characterize when special preenveloping classes in abelian categories 𝒜 and can induce special preenveloping classes...

Currently displaying 201 – 220 of 834