Abstract
Abstract In this paper, we introduce the notions of TL -submodules of a module and TL -linear subspaces of a linear space and show some of their properties, T being an arbitrary infinitely ∨-distributive t-norm on a given complete Brouwerian lattice L . We also give out two methods for constructing TL -submodules of a quotient module and study the TL -submodules and TL -linear subspaces generated by L -subsets.
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