Self-small products of abelian groups

[摘要] 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.

[学科分类] 物理化学和理论化学

[关键词] self-small abelian group;slender group