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For every module $M$ we have a natural monomorphism $Ψ : \underset{i \in I}{∐} {H o m}_{R} (M, A_{i}) \to {H o m}_{R} (M, \underset{i \in I}{∐} A_{i})$ and we focus our attention on the case when $Ψ$ is also an epimorphism. Some other colimits are also considered.

Modules commuting (via Hom) with some limits

Robert El Bashir, Tomáš Kepka (1998)

Fundamenta Mathematicae

For every module M we have a natural monomorphism $Φ : ∐_{i \in I} H o m_{R} (A_{i}, M) \to H o m_{R} (\prod_{i \in I} A_{i}, M)$ and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). Some other limits are also considered.

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Functors on locally finitely presented additive categories

Further criteria for totality

How large are left exact functors?

Idempotent Triples and Completion.

Initial Completions.

Least and largest initial completions. I.

Least and largest initial completions. II.

Les catégories localement (multi)présentables comme domaines de Scott

Limit preserving full embeddings.

Locally cartesian closed categories without chosen constructions.

$M$ -completeness is seldom monadic over graphs.

Modules commuting (via Hom) with some colimits

Modules commuting (via Hom) with some limits

Monads and cocompleteness of categories

Note on Demi-Topological Functors.

Note on universal topological completion

Notes on enriched categories with colimits of some class.

Notions of flatness relative to a Grothendieck topology.

On categorical shape theory

On limits and colimits in the Kleisli category

Currently displaying 61 – 80 of 118