References
P. Eklof andM. Huber, On the rank of Ext. Math. Z.174, 159–185 (1980).
U. Fixman andF. Okoh, Extensions of pairs of linear transformations between infinite-dimensional vector spaces. Linear Algebra Appl.19, 275–291 (1978).
L.Fuchs, Infinite Abelian Groups, Vol I, II. New York 1970, 1973.
I. Kaplansky, Modules over Dedekind rings and valuation rings. Trans. Amer. Math. Soc.72, 327–340 (1952).
F.Lukas, A class of infinite-rank modules over tame hereditary algebras. To appear.
F. Okoh, Indecomposable rank two modules over some artinian ring. J. London Math. Soc.22, 411–422 (1980).
C. M. Ringel, Infinite-dimensional representations of finite-dimensional hereditary algebras. Symposia Mathematica23, 321–412 (1979).
R. B. Warfield, Jr., Extensions of torsion-free abelian groups of finite rank. Arch. Math.23, 145–150 (1972).
V. S. Zuravskii, On the group of abelian extensions of abelian groups. Soviet Math. Dokl.1, 1007–1010 (1961).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Okoh, F. Extensionless modules of finite rank over countable Dedekind domains. Arch. Math 59, 232–238 (1992). https://doi.org/10.1007/BF01197320
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01197320