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 …
hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R …
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 …
> M is neat in Y, ie, the induced map Hom (S, Y)-> Hom (S, M) is surjective for any simple …