A Baer-Kaplansky Theorem in additive categories

S Crivei, D Keskin Tütüncü, R Tribak - Ring Theory 2019 …, 2021 - World Scientific
… We also deduce consequences in Grothendieck categories and finitely accessible …
Applications In this section we illustrate our general Baer-Kaplansky Theorem in certain classes of …

Baer-Kaplansky classes in categories: transfer via functors

S Crivei, DK Tütüncü, R Tribak - Communications in Algebra, 2020 - Taylor & Francis
Applications are given to Grothendieck categories, (graded) module … categories there are
classes which are not Baer-Kaplansky. In Section 4, we show that Baer-Kaplansky classes do …

Purely Rickart and dual purely Rickart objects in Grothendieck categories

SE Toksoy - Mediterranean Journal of Mathematics, 2021 - Springer
… Also applications to module and comodule categories are … the concept of Baer rings which
were introduced by Kaplansky [20] … 5, we study classes all of whose objects are (dual) relative …

Baer-Kaplansky classes of vector spaces and modules determined by numerical invariants

G D'Este, DK Tütüncü, R Tribak - Communications in Algebra, 2023 - Taylor & Francis
Baer-Kaplansky classes with two indecomposable modules up to isomorphism. We will see
that the modules in some of our Baer-Kaplansky classes are … proof which uses only the Krull-…

Pure-direct-objects in categories: transfer via functors

SE Toksoy - Communications in Algebra, 2023 - Taylor & Francis
applications to module categories and comodule categories. … in Grothendieck categories, ie
cocomplete abelian categories … in abelian categories and transfer of Baer-Kaplansky classes

D4-objects in abelian categories: Transfer via functors

D Keskin Tütüncü, B Kalebogaz - Communications in Algebra, 2022 - Taylor & Francis
… We also give applications to Grothendieck categories, comodule … in abelian categories and
in [Citation8] they presented transfers of BaerKaplansky classes in categories. Motivation of …

[PDF][PDF] Weak Rickart and dual weak Rickart objects in abelian categories: transfer via functors

D Crivei, D Tütüncü, G Olteanu - Bulletin Mathematique de la Societe des …, 2023 - ssmr.ro
… For applications we consider finitely accessible and exactly … Grothendieck categories, module
categories, categories σ[M] or … finitely presented weak self-Rickart object of C is self-Baer. …

CS-Rickart and dual CS-Rickart objects in abelian categories

S Crivei, SM Radu - 2022 - projecteuclid.org
Applications are given to Grothendieck categories and, in … found in the work of Kaplansky
[17] on Baer rings and Maeda [… an abelian category A with enough injectives, and a class C of …

Locally Type FP n and n-Coherent Categories

D Bravo, J Gillespie, MA Pérez - Applied Categorical Structures, 2023 - Springer
… We study finiteness conditions in Grothendieck categories by … As an application of this, we
obtain a result due to S. Crivei, M… of Baer’s criterion that holds in Grothendieck categories [33, …

Transfer of CS-Rickart and dual CS-Rickart properties via functors between abelian categories

S Crivei, SM Radu - Quaestiones Mathematicae, 2022 - Taylor & Francis
… in particular, Baer and dual Baer modules studied by Rizvi … ) CS-Rickart objects as well as
classes all of whose objects are (… We present several applications to Grothendieck categories