Radicals, local and semisimple modules
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A submodule N of a module M is called maximal (in M) if N is kernel of a nonzero homomorphism of M into some simple module (i.e. M/N is a simple module). The set of all maximal submodules of M is denoted by max(M).
KeywordsPrime Ideal Direct Summand Simple Module Homomorphic Image Division Ring
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