Abstract
An abelian group is a module over the ring ℤ of integers, so when studying abelian groups we may appeal to the general facts about modules developed in Chapter III, and about modules over a PID developed in Chapter V. The structure theorem for finitely presented abelian groups is a special case of the structure theorem (V.2.3) for finitely presented modules over a PID. In this section we are concerned with the simplest kinds of torsion-free abelian groups that are not finitely presented.
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© 1988 Springer Science+Business Media New York
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Mines, R., Richman, F., Ruitenburg, W. (1988). Abelian Groups. In: A Course in Constructive Algebra. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8640-5_11
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DOI: https://doi.org/10.1007/978-1-4419-8640-5_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96640-3
Online ISBN: 978-1-4419-8640-5
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