Max-projective modules
Y Alagöz, E Büyükaşık - Journal of Algebra and its Applications, 2021 - World Scientific
Weakening the notion of R-projectivity, a right R-module M is called max-projective provided
that each homomorphism f: M→ R/I, where I is any maximal right ideal, factors through the …
that each homomorphism f: M→ R/I, where I is any maximal right ideal, factors through the …
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 …
Y→ M is neat in Y, ie, the induced map Hom (S, Y)→ Hom (S, M) is surjective for any simple …
[PDF][PDF] On S-closed submodules
A submodule N of a module M is called S-closed (in M) if M/N is nonsingular. It is well-known
that the class Closed of short exact sequences determined by closed submodules is a …
that the class Closed of short exact sequences determined by closed submodules is a …
On max-flat and max-cotorsion modules
Y Alagöz, E Büyükaşık - Applicable Algebra in Engineering …, 2021 - Springer
In this paper, we continue to study and investigate the homological objects related to s-pure
and neat exact sequences of modules and module homomorphisms. A right module A is …
and neat exact sequences of modules and module homomorphisms. A right module A is …
[PDF][PDF] Proper classes generated by-closed submodules
Y Durğun, A Çobankaya - Analele ştiinţifice ale Universităţii" Ovidius" …, 2019 - sciendo.com
The main object of this paper is to study relative homological aspects as well as further
properties of τ-closed submodules. A submodule N of a module M is said to be τ-closed (or τ …
properties of τ-closed submodules. A submodule N of a module M is said to be τ-closed (or τ …
On Purities Relative to Minimal Right Ideals
Y Alagöz, R Ali̇zade, E Büyükaşık… - Lobachevskii Journal of …, 2023 - Springer
We call a right module weakly neat-flat if is surjective for any epimorphism and any simple
right ideal. A left module is called weakly absolutely s-pure if is monic, for any …
right ideal. A left module is called weakly absolutely s-pure if is monic, for any …
Coneat submodules and coneat-flat modules
E Buyukasik, Y Durgun - Journal of the Korean Mathematical …, 2014 - koreascience.kr
A submodule N of a right R-module M is called coneat if for every simple right R-module S,
any homomorphism $ N {\rightarrow} S $ can be extended to a homomorphism $ M …
any homomorphism $ N {\rightarrow} S $ can be extended to a homomorphism $ M …
Coneat injective modules
MF Hamid - Missouri Journal of Mathematical Sciences, 2019 - projecteuclid.org
A module is called coneat injective if it is injective with respect to all coneat exact
sequences. The class of such modules is enveloping and falls properly between injectives …
sequences. The class of such modules is enveloping and falls properly between injectives …
Homological objects of min-pure exact sequences
Y Alagöz, A Moradzadeh-dehkordı - Hacettepe Journal of …, 2023 - dergipark.org.tr
In a recent paper, Mao has studied min-pure injective modules to investigate the existence
of min-injective covers. A min-pure injective module is one that is injective relative only to …
of min-injective covers. A min-pure injective module is one that is injective relative only to …
[PDF][PDF] On MF-projective modules
Y Alagöz - Hacettepe Journal of Mathematics and Statistics, 2021 - dergipark.org.tr
In this paper, we study left orthogonal class of max-flat modules which are the homological
objects related to s-pure exact sequences of modules and module homomorphisms …
objects related to s-pure exact sequences of modules and module homomorphisms …