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kappa-slender module; $k$-coordinatewise slender; $k$-tailwise slender; $k$-cslender; $k$-tslender; slender module; $k$-hmodule; the Hom functor; infinite products; filtered products; infinite coproducts; filtered products; non-measurable cardinal; torsion theory
For an arbitrary infinite cardinal $\kappa $, we define classes of $\kappa $-cslender and $\kappa $-tslender modules as well as related classes of $\kappa $-hmodules and initiate a study of these classes.
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