Document Zbl 0455.13004

Splitting fields for torsion-free modules over discrete valuation rings. III. (English) Zbl 0455.13004

J. Algebra 66, 307-320 (1980).

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MSC:

13C05	Structure, classification theorems for modules and ideals in commutative rings
18E10	Abelian categories, Grothendieck categories
13F30	Valuation rings

Keywords:

discrete valuation ring

Citations:

Zbl 0355.13003

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Full Text: DOI

References:

[1]	Arnold, D. M., A class of pure subgroups of completely decomposable abelian groups, (Proc. Amer. Math. Soc., 41 (1973)), 37-44 · Zbl 0297.20064
[2]	Bourbaki, N., Commutative Algebra (1972), Addison-Wesley: Addison-Wesley Reading, Mass
[3]	Dlab, V.; Ringel, C. M., Indecomposable representations of graphs and algebras, Mem. Amer. Math. Soc., 6, No. 173 (1976) · Zbl 0332.16015
[4]	Fuchs, L., (Infinite Abelian Groups, Vol. II (1973), Academic Press: Academic Press New York) · Zbl 0253.20055
[5]	Lady, E. L., Extension of scalars for torsion-free modules over Dedekind domains, (Symposia Math., Vol. 23 (1979), Academic Press: Academic Press London/New York), 287-305 · Zbl 0425.13001
[6]	Lady, E. L., Splitting fields for torsion-free modules over discrete valuation rings, II, J. Algebra, 66, 281-306 (1980) · Zbl 0455.13003
[7]	Murley, C. E., The classification of certain classes of torsion free abelian groups, Pacific J. Math., 40, 647-665 (1972) · Zbl 0261.20045
[8]	Ringel, C. M., Representations of \(K\)-species and bimodules, J. Algebra, 41, 269-302 (1976) · Zbl 0338.16011

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