13 citations · 31 across the 16 of their papers we have counts for
18 papers
CS-Baer and dual CS-Baer objects in abelian categories
Septimiu Crivei, Derya Keskin Tütüncü, Simona Maria Radu +1
We investigate relative CS-Baer objects in abelian categories in relationship with other relevant classes of objects such as relative Baer objects, extending objects, objects havin…
Reflective and coreflective subcategories
Manuel Cortés-Izurdiaga, Septimiu Crivei, Manuel Saorín
Given any additive category with split idempotents, pseudokernels and pseudocokernels, we show that a subcategory is coreflective if, and only if, it is…
Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories
Septimu Crivei, Simona Maria Radu
We introduce (dual) strongly relative CS-Rickart objects in abelian categories, as common generalizations of (dual) strongly relative Rickart objects and strongly extending (liftin…
Transfer of CS-Rickart and dual CS-Rickart properties via functors between abelian categories
Septimiu Crivei, Simona Maria Radu
We study the transfer of (dual) relative CS-Rickart properties via functors between abelian categories. We consider fully faithful functors as well as adjoint pairs of functors. We…
CS-Rickart and dual CS-Rickart objects in abelian categories
Septimiu Crivei, Simona Maria Radu
We introduce (dual) relative CS-Rickart objects in abelian categories, as common generalizations of (dual) relative Rickart objects and extending (lifting) objects. We study direct…
Relatively divisible and relatively flat objects in exact categories: Applications
Septimiu Crivei, Derya Keskin Tütüncü
We continue our study of relatively divisible and relatively flat objects in exact categories in the sense of Quillen with several applications to exact structures on finitely acce…