SOME RESULTS ON THE QUOTIENT OF CO-M MODULES

In this paper, among various results, we prove that if m is a cancellation co-m r-module and l is a non-zero simple submodule of m, then m/l is a co-m r-module. we investigate various conditions under which the quotient module m/n of a co-m module m is also co-m. moreover, if m is a cancellation noetherian co-m r-module, then for every second submodule n of m the quotient module m/n is also a co-m r-module. we prove some results concerning socle and radical of co-m modules.