… An object V of C consists of akα-vector space Vα for each … (When we denote an object by an
upper case letter such as V… ) category, but not locally small: for example, if V is the object with …

… (graded) module categories. We present various ways of constructing new weak relative
Rickart objects from old by using suitable functors between abelian categories. We will implicitly …

… and study relative Rickart objects and dual relative Rickart objects in abelian categories. We
… study relative regular objects and (dual) relative Baer objects in abelian categories. We also …

… ) strongly relative CS-Rickart objects in abelian categories. We show how our … Rickart objects
and (dual) strongly relative Rickart objects. For instance, an object M of an abelian category …

… of (dual) relative Rickart properties via functors between abelian categories, and we
deduce … We also give applications to Grothendieck categories, comodule categories and (graded) …

… in abelian categories. In Section 2 we introduce relative CS-Rickart objects and self-CS-Rickart
objects, … Also, we discuss their relationship with Rickart objects in terms of some nonsingu…

… Recall that the objects of Db(R) are the chain complexes of nitely-generated R-modules with
… a `triangulated category': in particular, for each object X of Db(R) we can form an object X n] …

… to Rickard’s Morita theory for derived categories [29]. … -category should be thought of as a
‘ring with several objects’ [25]. An additive category is a Z-category A which has a zero object 0 …

Let G be a finite group. We shall consider representations of G over a field k of characteristic
p and (to relate the representation theory over k with the ordinary character theory) over a …

… Rickart objects in abelian categories. We show that an object M of an abelian category 𝒜
is strongly self-Rickart if and only if M is self-Rickart and weak duo if and only if M is self-Rickart …