… abelian categories, abelian coreflective and reflective full subcategories of abelian categories,
and we obtain results on preservation and reflection of the (dual) weak relative Rickart …

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

… results on (dual) relative Rickart objects can be used for studying (dual) relative Baer objects
in abelian categories as well as endomorphism rings in (graded) module categories. In Sect…

… M-CS-Rickart if and only if N i is (dual) strongly M-CS-Rickart for … abelian category A ,
we prove that M is (dual) strongly self-CS-Rickart if and only if M i is (dual) strongly self-CS-Rickart …

… dual Rickart module is always left Rickart and obtain conditions for the converse to hold true.
We prove that a dual Rickart … dual Baer module. A structure theorem for a finitely generated …

… Section 4 is devoted to Rickard’s Morita theory for derived categories [29]. We give his … )
They are actually self-dual, in the sense that the opposite category T op also carries a canonical …

… role in a triangulated category to that played by short exact sequences in an abelian category.
We can regard D'(mod (kA)) as an extension of the module category: we can embed mod (…

… only if it is both Rickart and dual Rickart [10, Corollary … Rickart and dual Rickart modules,
Rickart and dual Rickart objects in abelian categories also generalize regular objects in abelian …

… We establish the following result: Any partially ordered abelian group with an order unit that
is … As corollaries, we deduce that if R is either an K0-continuous ring or a finite Rickart C*-…

… A module M is called d-Rickart (or dual Rickart) if for every endomorphism ϕ of M, …
Rickart modules. We present an example of a d-CS-Rickart module which is not lifting nor d-Rickart…