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STUDIA MATHEMATICA - Issue no. 1 / 2015 | |||||||
Article: |
ON PRODUCTS OF SELF-SMALL ABELIAN GROUPS. Authors: . |
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Abstract: An abelian group A is called self-small if direct sums of copies of A commute with the covariant Hom (A, −) functor. The paper presents an elementary example of a non-self-small countable product of self-small abelian groups without non-zero homomorphisms between different ones. A criterion of self-smallness of a finite product of modules is given. Mathematics Subject Classification (2010): 16D10, 16S50, 16D70. Keywords: Self-small abelian group. |
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