Abstract
The structure of uniform modules over arbitrary rings is investigated by means of the method of Γ-invariants. In particular, Γ-and Γ*- invariants are introduced for strongly uniform modules of uncountable dimension in order to measure the failure of their sub-module lattices to be relatively complemented. Our main result is for dimension ω 1 : for any field F, the Γ*-invariants of indecomposable injective modules over locally matricial F-algebras achieve all of the possible 2ωl many values. Some consequences for the structure of Ziegler spectra of von Neumann regular rings are derived.
Research supported by grant GAUK 12/97.
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Trlifaj, J. (1999). Uniform modules, Г-invariants, and Ziegler spectra of regular rings. 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_27
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DOI: https://doi.org/10.1007/978-3-0348-7591-2_27
Publisher Name: Birkhäuser, Basel
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