Pure-direct-injective modules

SK Maurya, S Das, Y Alagöz - Lobachevskii Journal of Mathematics, 2022 - Springer
In this paper, we study the class of modules having the property that if any pure submodule
is isomorphic to a direct summand of such a module then the pure submodule is itself a …

Pure-direct-projective modules

R Alizade, SE Toksoy - Journal of Algebra and Its Applications, 2024 - World Scientific
In this paper, we introduce and study the pure-direct-projective modules, that is the modules
M every pure submodule A of which with M/A isomorphic to a direct summand of M is a direct …

[HTML][HTML] Rings in which every ideal is pure-projective or FP-projective

A Moradzadeh-Dehkordi, SH Shojaee - Journal of Algebra, 2017 - Elsevier
A ring R is said to be left pure-hereditary (resp. RD-hereditary) if every left ideal of R is pure-
projective (resp. RD-projective). In this paper, some properties and examples of these rings …

[PDF][PDF] SOME RESULTS ON PURE PROJECTIVE MODULES

P Gupta, RK Mishra - Palestine Journal of Mathematics, 2023 - pjm.ppu.edu
SOME RESULTS ON PURE PROJECTIVE MODULES Page 1 Palestine Journal of Mathematics
Vol. 12(Special Issue III) (2023) , 91–96 © Palestine Polytechnic University-PPU 2023 SOME …

Corrigendum to “Rings whose cyclic modules are pure-injective or pure-projective”[J. Algebra 460 (2016) 128–142]

A Moradzadeh-Dehkordi - Journal of Algebra, 2017 - Elsevier
Corrigendum to “Rings whose cyclic modules are pure-injective or pure-projective” [J. Algebra
460 (2016) 128–142] - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals …

[PDF][PDF] {\it RD}-injectivity of tensor products of modules

A Moradzadeh-Dehkordi, A Zaghian - Colloquium Mathematicum, 2016 - researchgate.net
A classical question due to Yoneda is,“When is the tensor product of any two injective
modules injective?” Enochs and Jenda gave a complete and explicit answer to this question …