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Essential \(L\)-submodules of an \(L\)-module. (English) Zbl 1133.16036

Necessary and sufficient conditions for an \(L\)-submodule to be essential are given. The notion of an essential submodule of a module in the fuzzy setting is introduced and some related results are obtained.

MSC:

16Y99 Generalizations
16D80 Other classes of modules and ideals in associative algebras
06D72 Fuzzy lattices (soft algebras) and related topics
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