Split objects with respect to a fully invariant short exact sequence in abelian categories
Rendiconti del Seminario Matematico della Università di Padova, Tome 147 (2022), pp. 1-41.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

We introduce and investigate (dual) relative split objects with respect to a fully invariant short exact sequence in abelian categories. We compare them with (dual) relative Rickart objects, and we study their behaviour with respect to coproducts and classes all of whose objects are (dual) relative split. We also introduce and study (dual) strongly relative split objects. Applications are given to Grothendieck categories, module categories, and comodule categories.

Publié le :
DOI : 10.4171/rsmup/88
Classification : 18, 16 
@article{RSMUP_2022__147__1_0,
     author = {Crivei, Septimiu and T\"ut\"unc\"u, Derya Keskin and Tribak, Rachid},
     title = {Split objects with respect to a fully invariant short exact sequence in abelian categories},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {1--41},
     volume = {147},
     year = {2022},
     doi = {10.4171/rsmup/88},
     mrnumber = {4450782},
     zbl = {1497.18009},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/rsmup/88/}
}
TY  - JOUR
AU  - Crivei, Septimiu
AU  - Tütüncü, Derya Keskin
AU  - Tribak, Rachid
TI  - Split objects with respect to a fully invariant short exact sequence in abelian categories
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2022
SP  - 1
EP  - 41
VL  - 147
UR  - http://www.numdam.org/articles/10.4171/rsmup/88/
DO  - 10.4171/rsmup/88
LA  - en
ID  - RSMUP_2022__147__1_0
ER  - 
%0 Journal Article
%A Crivei, Septimiu
%A Tütüncü, Derya Keskin
%A Tribak, Rachid
%T Split objects with respect to a fully invariant short exact sequence in abelian categories
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2022
%P 1-41
%V 147
%U http://www.numdam.org/articles/10.4171/rsmup/88/
%R 10.4171/rsmup/88
%G en
%F RSMUP_2022__147__1_0
Crivei, Septimiu; Tütüncü, Derya Keskin; Tribak, Rachid. Split objects with respect to a fully invariant short exact sequence in abelian categories. Rendiconti del Seminario Matematico della Università di Padova, Tome 147 (2022), pp. 1-41. doi : 10.4171/rsmup/88. http://www.numdam.org/articles/10.4171/rsmup/88/

Cité par Sources :