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Essential and extending modules relative to a left exact preradical

    https://doi.org/10.1142/S0219498821500870Cited by:0 (Source: Crossref)

    We give a relativization of the notions of essential, uniform, closed, injective and extending modules with respect to a left exact preradical on the ring. We also give useful examples and show that several classical properties hold for these kinds of modules.

    Communicated by S. R. López-Permouth

    AMSC: 16D70, 16D50, 16D80