Geodesic
Self-small products of abelian groups
Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 2, pp. 145-157.

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Let $A$ and $B$ be two abelian groups. The group $A$ is called $B$-small if the covariant functor ${\rm Hom}(A,-)$ commutes with all direct sums $B^{(\kappa)}$ and $A$ is self-small provided it is $A$-small. The paper characterizes self-small products applying developed closure properties of the classes of relatively small groups. As a consequence, self-small products of finitely generated abelian groups are described.
DOI : 10.14712/1213-7243.2022.020
Classification : 20K20, 20K21, 20K40
Keywords: self-small abelian group; slender group 
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Dvořák, Josef; Žemlička, Jan. Self-small products of abelian groups. Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 2, pp. 145-157. doi : 10.14712/1213-7243.2022.020. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2022.020/

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