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 …
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 …
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 …
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-…
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 …
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 Baer–Kaplansky classes in categories. Motivation of …
in [Citation8] they presented transfers of Baer–Kaplansky classes in categories. Motivation of …
[PDF][PDF] Weak Rickart and dual weak Rickart objects in abelian categories: transfer via functors
… 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. …
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 …
[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, …
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 …
classes all of whose objects are (… We present several applications to Grothendieck categories …