13 citations · 31 across the 16 of their papers we have counts for
4 papers · 2 filters
Relatively divisible and relatively flat objects in exact categories
Septimiu Crivei, Derya Keskin Tütüncü
We introduce and study relatively divisible and relatively flat objects in exact categories in the sense of Quillen. For every relative cotorsion pair i…
Split objects with respect to a fully invariant short exact sequence in abelian categories
Septimiu Crivei, Derya Keskin Tütüncü, Rachid Tribak
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 Rickar…
Strongly Rickart objects in abelian categories: Applications to strongly regular and strongly Baer objects
Septimiu Crivei, Gabriela Olteanu
We show how the theory of (dual) strongly relative Rickart objects may be employed in order to study strongly relative regular objects and (dual) strongly relative Baer objects in…
Strongly Rickart objects in abelian categories
Septimiu Crivei, Gabriela Olteanu
We introduce and study (dual) strongly relative Rickart objects in abelian categories. We prove general properties, we analyze the behaviour with respect to (co)products, and we st…