An alternative perspective on projectivity of modules
C Holston, SR López-Permouth… - Glasgow Mathematical …, 2015 - cambridge.org
We approach the analysis of the extent of the projectivity of modules from a fresh perspective
as we introduce the notion of relative subprojectivity. A module M is said to be N …
as we introduce the notion of relative subprojectivity. A module M is said to be N …
Rings whose modules have maximal or minimal subprojectivity domain
Y Durğun - Journal of Algebra and Its Applications, 2015 - World Scientific
Given modules M and N, M is said to be N-subprojective if for every epimorphism g: B→ N
and homomorphism f: M→ N, there exists a homomorphism h: M→ B such that gh= f. For a …
and homomorphism f: M→ N, there exists a homomorphism h: M→ B such that gh= f. For a …
An alternative perspective on flatness of modules
Y Durğun - Journal of Algebra and Its Applications, 2016 - World Scientific
Given modules RM and AR, RM is said to be absolutely AR-pure if A⊗ M→ A⊗ B is a
monomorphism for every extension RB of RM. For a module AR, the absolutely pure domain …
monomorphism for every extension RB of RM. For a module AR, the absolutely pure domain …
An alternative perspective on pure-projectivity of modules
The study of pure-projectivity is accessed from an alternative point of view. Given modules M
and N, M is said to be N-pure-subprojective if for every pure epimorphism g: B → N g: B→ N …
and N, M is said to be N-pure-subprojective if for every pure epimorphism g: B → N g: B→ N …
Subprojectivity domains of pure-projective modules
Y Durğun - Journal of Algebra and its Applications, 2020 - World Scientific
In a recent paper, Holston et al. have defined a module M to be N-subprojective if for every
epimorphism g: B→ N and homomorphism f: M→ N, there exists a homomorphism h: M→ B …
epimorphism g: B→ N and homomorphism f: M→ N, there exists a homomorphism h: M→ B …
[HTML][HTML] Rings and modules characterized by opposites of injectivity
In a recent paper, Aydoǧdu and López-Permouth have defined a module M to be N-
subinjective if every homomorphism N→ M extends to some E (N)→ M, where E (N) is the …
subinjective if every homomorphism N→ M extends to some E (N)→ M, where E (N) is the …
Pure-injectivity from a different perspective
SR López-Permouth, J Mastromatteo… - Glasgow Mathematical …, 2018 - cambridge.org
The study of pure-injectivity is accessed from an alternative point of view. A module M is
called pure-subinjective relative to a module N if for every pure extension K of N, every …
called pure-subinjective relative to a module N if for every pure extension K of N, every …
Characterizing rings in terms of the extent of the injectivity of their simple modules
B Saraç, P Aydoğdu - Mediterranean Journal of Mathematics, 2023 - Springer
This work aims to contribute to the study of rings in terms of their simple modules. Vast
research has been done in this direction to investigate rings whose simple modules are all …
research has been done in this direction to investigate rings whose simple modules are all …
When socles split in injectivity domains of modules
In this paper, we investigate modules whose elements of their injectivity domains satisfy the
fixed property p. In particular, quasi-poor modules as a generalization of poor modules are …
fixed property p. In particular, quasi-poor modules as a generalization of poor modules are …
RD-projective module whose subprojectivity domain is minimal
Y Durğun - Hacettepe Journal of Mathematics and Statistics, 2022 - dergipark.org.tr
A p-indigent module is one that is subprojective only to projective modules. An RD-
projective module is subprojective to any torsionfree (and flat) module. An RD-projective …
projective module is subprojective to any torsionfree (and flat) module. An RD-projective …