A useful category for mixed Abelian groups

Grigore Calugareanu

All the useful categories in the study of the mixed abelian groups (e.g. {\bf Warf} and {\bf Walk}) ignore the torsion. We introduce a new category denoted ${\cal A}$ which ignores the torsion-freeness and could characterize some classes of nonsplitting mixed groups with the aid of {\bf Walk.}

Keywords: additive category, quotient category, splitting mixed Abelian groups.

1991 MSC: 20K21, 18E05.

Theory and Applications of Categories, Vol. 5, 1999, No. 4, pp 81-90.

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