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Endomorphism rings of reduced torsion-free modules over complete discrete valuation rings. (English) Zbl 0282.16016


MSC:

16S50 Endomorphism rings; matrix rings
16Gxx Representation theory of associative rings and algebras
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[1] Nathan Jacobson, Structure of rings, American Mathematical Society, Colloquium Publications, vol. 37, American Mathematical Society, 190 Hope Street, Prov., R. I., 1956. · Zbl 0073.02002
[2] Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. · Zbl 0057.01901
[3] Wolfgang Liebert, Endomorphism rings of abelian \?-groups, Studies on Abelian Groups (Symposium, Montpellier, 1967) Springer, Berlin, 1968, pp. 239 – 258.
[4] Wolfgang Liebert, Characterization of the endomorphism rings of divisible torsion modules and reduced complete torsion-free modules over complete discrete valuation rings, Pacific J. Math. 37 (1971), 141 – 170. · Zbl 0214.05704
[5] R. S. Pierce, Homomorphisms of primary abelian groups, Topics in Abelian Groups (Proc. Sympos., New Mexico State Univ., 1962), Scott, Foresman and Co., Chicago, Ill., 1963, pp. 215 – 310.
[6] R. S. Pierce, Endomorphism rings of primary Abelian groups, Proc. Colloq. Abelian Groups (Tihany, 1963) Akadémiai Kiadó, Budapest, 1964, pp. 125 – 137. · Zbl 0131.02503
[7] Kenneth G. Wolfson, An ideal-theoretic characterization of the ring of all linear transformations, Amer. J. Math. 75 (1953), 358 – 386. · Zbl 0050.11503
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