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Article

Dimitric, Radoslav
Kappa-Slender Modules. (English). Communications in Mathematics, vol. 28 (2020), issue 1, pp. 1-12
MSC: 03C20, 03E10, 03E20, 03E55, 03E75, 16D80, 16D90, 18A20, 18A30, 18A40, 20K25 | MR 4124286 | Zbl 07368969
Keywords:
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
Summary:
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.
References:
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