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PRIME M-IDEALS, M-PRIME SUBMODULES, M-PRIME RADICAL AND M-BAER'S LOWER NILRADICAL OF MODULES

PRIME M-IDEALS, M-PRIME SUBMODULES, M-PRIME RADICAL AND M-BAER'S LOWER NILRADICAL OF MODULES

Let M be a fixed left R-module.For a left R-module X, we introduce the notion of M -prime (resp.M -semiprime) submodule of X such that in the case M = R, it coincides with prime (resp.semiprime) submodule of X.Other concepts encountered in the general theory are M -m-system sets, M …