Subprojectivity in abelian categories

H Amzil, D Bennis, JRG Rozas, H Ouberka… - Applied Categorical …, 2021 - Springer
In the last few years, López-Permouth and several collaborators have introduced a new
approach in the study of the classical projectivity, injectivity and flatness of modules. This …

Absolutely s-Pure Modules and Neat-Flat Modules

E Büyükaşık, Y Durğun - Communications in Algebra, 2015 - Taylor & Francis
Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective
hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R …

Neat-flat modules

E Büyükaşık, Y Durğun - Communications in Algebra, 2016 - Taylor & Francis
Let R be a ring. A right R-module M is said to be neat-flat if the kernel of any epimorphism
Y→ M is neat in Y, ie, the induced map Hom (S, Y)→ Hom (S, M) is surjective for any simple …

Precover completing domains and approximations

H Amzil, D Bennis, JRG Rozas… - Communications in …, 2023 - Taylor & Francis
In this paper, we introduce an X-precover completing domain X− 1 (L), with L being a class
of modules and not necessarily a single module, and then investigate when every module in …

Nociones asociadas a subdominios en álgebra homológica relativa

H Amzil - 2022 - repositorio.ual.es
Propiedades homológicas de los módulos tales como la inyectividad, proyectividad,
planitud, etc. se han considerado clásicamente como atributos que los módulos pueden …

Neat-flat modules

Y Buyukasik, Y Durgun - Communications in Algebra, 2016 - avesis.cu.edu.tr
Let R be a ring. A right R-module M is said to be neat-flat if the kernel of any epimorphism Y-
> M is neat in Y, ie, the induced map Hom (S, Y)-> Hom (S, M) is surjective for any simple …

Medida de la proyectividad en categorías abelianas. Aplicaciones a complejos

H Ouberka - 2022 - repositorio.ual.es
En los últimos años, López-Permouth y varios colaboradores han introducido un nuevo
enfoque en el estudio de la proyectividad, inyectividad y planitud clásicas de los módulos …

Rings related to S-projective modules

Z Zhu - Bulletin mathématique de la Société des Sciences …, 2019 - JSTOR
Let R be a ring and 𝑆 be a class of some finitely generated left R-modules. Then a left R-
module M is called 𝑆-projective if for every homomorphism f: S→ M, where S∈ 𝑆, there exist …

[图书][B] Homological objects of proper classes generated by simple modules

Y Durğun - 2014 - search.proquest.com
The main purpose of this thesis is to study some classes of modules determined by neat,
coneat and s-pure submodules. A right R-module M is called neat-flat (resp. coneat-flat) if …

[PDF][PDF] Rings over which every simple module has an injective cover

Y Durgun, E Büyükasık - RECENT TRENDS IN RINGS AND ALGEBRAS. 2013 - um.es
Throughout this note, R is a ring with an identity element and all modules are unital R-
modules. MR denotes a right R-module. For an R-module M, the character module HomZ …