Skip to Main Content (Press Enter)

Logo UNITO
  • ×
  • Home
  • Pubblicazioni
  • Progetti
  • Persone
  • Competenze
  • Settori
  • Strutture
  • Terza Missione

UNI-FIND
Logo UNITO

|

UNI-FIND

unito.it
  • ×
  • Home
  • Pubblicazioni
  • Progetti
  • Persone
  • Competenze
  • Settori
  • Strutture
  • Terza Missione
  1. Pubblicazioni

Semiseparable Functors and Conditions up to Retracts

Articolo
Data di Pubblicazione:
2024
Abstract:
In a previous paper we introduced the concept of semiseparable functor. Here we continue our study of these functors in connection with idempotent (Cauchy) completion. To this aim, we introduce and investigate the notions of (co)reflection and bireflection up to retracts. We show that the (co)comparison functor attached to an adjunction whose associated (co)monad is separable is a coreflection (reflection) up to retracts. This fact allows us to prove that a right (left) adjoint functor is semiseparable if and only if the associated (co)monad is separable and the (co)comparison functor is a bireflection up to retracts, extending a characterization pursued by X.-W. Chen in the separable case. Finally, we provide a semi-analogue of a result obtained by P. Balmer in the framework of pre-triangulated categories.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
Semiseparable functor; Idempotent completion; Semifunctor; Eilenberg-Moore category; Kleisli category; Pre-triangulated category
Elenco autori:
Ardizzoni, Alessandro; Bottegoni, Lucrezia
Autori di Ateneo:
ARDIZZONI Alessandro
Link alla scheda completa:
https://iris.unito.it/handle/2318/2005650
Link al Full Text:
https://iris.unito.it/retrieve/handle/2318/2005650/1360488/49-SemiseparableUTR%20[OA].pdf
Pubblicato in:
APPLIED CATEGORICAL STRUCTURES
Journal
Progetto:
ARDIZZONI - Programmi di Rilevante Interesse Nazionale - Bando PRIN 2017
  • Dati Generali

Dati Generali

URL

https://rdcu.be/dQRQm
  • Utilizzo dei cookie

Realizzato con VIVO | Designed by Cineca | 25.6.1.0