WHEN MATRIX RINGS ARE BEZOUT

An R-modul M is called epi-retractable (resp. n-epi-retractable) if every submodule (resp. n-generated submodule) of M is a homomorphic image of MR. It is shown that the matrix ring Matm*m ® is pri (resp. right Bezout) if and only if RmR is epi-retractable (resp. RmR is n-epi-retractable n≥m)

کلیدواژه ها:

Bezout ring ، epi-retractable