Internal object actions

By Francis Borceux, George Janelidze, G. M. Kelly. 2005

126 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e27d479599b24ba45d3f684ad45e558ef0796e60

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1. Sandra Mantovani
2. Giuseppe Metere
3. Florence Sterck
4. Joost Vercruysse
5. Marino Gran
6. N. Martins-Ferreira
7. M. Sobral
8. A. Montoli

Citations in the corpus

• A semi-abelian extension of a theorem by Takeuchi (2018, background): “We then prove that the category HopfK,coc is also an action representable category [5], and provide an algebraic description of the categorical commutator in the sense of Huq of two normal Hopf subalgebras in HopfK,coc is then given.”
• Normalities and commutators (2010, background): “ject A of Cone gets a kernel diagram: B♭A nB,A//B +A [1,0] //B. The normal monomorphism nB,Awill be denoted simply nwhen no confusion arises. The B♭(−)-algebras are called internal B-actions in C(see [BJK05]). Let us observe that in the case of groups, the object B♭Ais the group generated by the for”
• Semidirect products and crossed modules in monoids with operations (2013, background): “The algebras for the monad T iB are called internal actions in [1].”