D4-objects in abelian categories: Transfer via functors

D Keskin Tütüncü, B Kalebogaz - Communications in Algebra, 2022 - Taylor & Francis
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and Francis Online homepage Taylor and Francis Online homepage Access provided by The …

A Baer-Kaplansky Theorem in additive categories

S Crivei, D Keskin Tütüncü, R Tribak - Ring Theory 2019 …, 2021 - World Scientific
We prove the following Baer-Kaplansky Theorem in additive categories. If M and N are
objects of an additive category C such that:(1) M= A⨁ X and N= B⨁ X for some objects A, B …

[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
Weak relative Rickart objects generalize relative Rickart objects in abelian categories. We
study how such a property is preserved or reflected by fully faithful functors and adjoint pairs …

[PDF][PDF] Dualities induced by right adjoint contravariant functors

S Breaz, F Pop - Studia Universitatis Babes-Bolyai Mathematica, 2010 - Citeseer
DUALITIES INDUCED BY RIGHT ADJOINT CONTRAVARIANT FUNCTORS 1. Introduction Let
A and B be abelian categories and F : A ⇆ B : G Page 1 STUDIA UNIV. “BABES–BOLYAI” …

Equivalences induced by n-self-cotilting comodules

H Liu, S Zhang - 2011 - degruyter.com
Equivalences induced by n-self-cotilting comodules Page 1 Adv. Pure Appl. Math. 2 (2010),
109 – 131 DOI 10.1515/APAM.2010.029 © de Gruyter 2010 Equivalences induced by n-self-cotilting …

Localizations, colocalizations and non additive∗-objects

GC Modoi - Semigroup Forum, 2010 - Springer
Given two arbitrary categories, a pair of adjoint functors between them induces three pairs of
full subcategories, as follows: the subcategories of reflexive objects, that is objects for which …

[PDF][PDF] Natural equivalences and dualities

S Breaz, C Modoi, F Pop - Proceedings of the International …, 2008 - researchgate.net
NATURAL EQUIVALENCES AND DUALITIES 1. Introduction The starting point of the study of
equivalences, respectively dualities, betw Page 1 Proceedings of the International Conference …

[HTML][HTML] Closure properties associated to natural equivalences

F Pop - Indagationes Mathematicae, 2013 - Elsevier
Closure properties associated to natural equivalences - ScienceDirect Skip to main contentSkip
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-tuple and-tuple of Covariant Functors

S Al-Nofayee - British Journal of Mathematics & …, 2015 - article.publish4promo.com
A right A-module M is a-module provided that M is self-small and any exact sequence 0→
N→ L→ Q→ 0, with L, Q∈ Stat (M) remains exact after applying the functor HomA (M,-) if …

Injective Morita contexts (revisited)

JY Abuhlail, SK Nauman - Modules and Comodules, 2008 - Springer
This paper is an exposition of the so-called injective Morita contexts (in which the connecting
bimodule morphisms are injective) and Morita α-contexts (in which the connecting …