Abstract
In this paper we describe a way of parameterizing the complete systems of orthogonal idempotents in certain matrix rings. As applications of the results we show how the classes of inequivalent decompositions of certain torsion free abelian groups into indecomposable summands can be completely classified.
The author thanks A. Paras, C.I. Vinsonhaler and W.J. Wickless for their interest in earlier drafts of this paper.
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References
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Reid, J.D. (1999). Some matrix rings associated with ACD groups. In: Eklof, P.C., Göbel, R. (eds) Abelian Groups and Modules. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7591-2_14
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DOI: https://doi.org/10.1007/978-3-0348-7591-2_14
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7593-6
Online ISBN: 978-3-0348-7591-2
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