Author/Authors :
Mehdi, Alveera Aligarh Muslim University - Department of Mathematics, India , Sikander, Fahad Aligarh Muslim University - Department of Mathematics, India , Sikander, Fahad Saudi Electronic University - College of computing and informatics, Saudi Arabia , Naji, Sabah A R K Aligarh Muslim University - Department of Mathematics, India
Abstract :
Mehdi studied (ω + k)-projective QTAG-modules with the help of their submodules contained in Hk(M) (the submodule generated by the elements of exponents at most k). These modules contain nice submodules N contained in Hk(M) such that M/N is a direct sum of uniserial modules. Here, we investigate the class A of QTAG-modules, containing nice submodules N ⊆ Hk(M) such that M/N is totally projective. We also study strong ω-elongation of totally projective QTAG-modules by (ω + k)-projective QTAG-modules.
Keywords :
QTAG , module , ω , elongation , Totally projective , (ω + k) , projective etc
