Geodesic
Products of small modules
Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 1, pp. 9-16

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Module is said to be small if it is not a union of strictly increasing infinite countable chain of submodules. We show that the class of all small modules over self-injective purely infinite ring is closed under direct products whenever there exists no strongly inaccessible cardinal.
Classification : 03E35, 16B70, 16D10, 16D50, 16D70, 16D80, 16E50, 16S50
Keywords: small module; self-injectivity; von Neumann regular ring; purely infinite rings; direct sums; direct products; strongly inaccessible cardinals 
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Kálnai, Peter; Žemlička, Jan. Products of small modules. Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 1, pp. 9-16. http://geodesic.mathdoc.fr/item/CMUC_2014__55_1_a1/