MMN-4672
Some properties of amply r-supplemented modules
Nurhan Sökmez;Abstract
In this work, amply r-supplemented modules are defined and some properties of these modules are investigated. It is proved that every factor module and every homomorphic image of an amply r-supplemented module are amply r-supplemented. Let M be a pi−projective and r-supplemented module. Then M is amply r-supplemented. Let M be an R−module. If every submodule of M is r-supplemented, then M is amply r-supplemented. Let R be any ring. Then every R−module is r-supplemented if and only if every R−module is amply r-supplemented.
Vol. 26 (2025), No. 2, pp. 1023-1028