Abelian groups with anti-isomorphic endomorphism rings

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1. [1] R. Baer, Linear Algebra and Projective Geometry, Academic Press, New York, 1952. Zbl0049.38103MR52795
2. [2] A.L.S. Corner, Endomorphism rings of torsion-free abelian groups, Proc. Internat. Conf. Theory of Groups, Austral. Nat. Univ.Canberra, August 1965, pp. 59-69. Zbl0178.02303
3. [3] G. D'Este, A theorem on the endomorphism rings of reduced torsion-free abelian groups and some applications, Annali di Matematica pura ed applicata, 96 (1978), pp. 381-392. Zbl0383.20036MR506986
4. [4] K. Faltings, On the automorphism groups of a reduced primary abelian group, Trans. Amer. Math. Soc., 165 (1972), pp. 1-25. Zbl0253.20078MR292932
5. [5] L. Fuchs, Infinite Abelian Groups, vol. I-II, Academic Press, New York and London, 1970-73. Zbl0209.05503MR255673
6. [6] L. Gewirtzmann, Anti-isomorphisms of the endomorphism rings of torsion-free modules, Math. Zeitschr., 98 (1967), pp. 391-400. Zbl0152.01703MR214621
7. [7] D.K. Harrison, Infinite abelian groups and homological methods, Ann. of Math., 69 (1959), pp. 366-391. Zbl0100.02901MR104728
8. [8] N. Jacobson, Basic Algebra II, Preprint, 1977. 
9. [9] 1 Kaplansky, Infinite Abelian Groups, University of Michigan Press, Ann. Arbor, 1969. Zbl0194.04402MR233887
10. [10] W. Liebert, Characterisierung der Endomorphismenringe endlicher abelscher Gruppen, Arch. Math., 18 (1967), pp. 128-135. Zbl0153.03601MR212088
11. [11] W. Liebert, Characterization of the endomorphism rings of divisible torsion modules and reduced complete torsion-free modules over complete discrete valuation rings, Pacif. J. Math., 37 (1971), pp. 141-170. Zbl0214.05704MR310018
12. [12] W. Liebert, Ulm valuations and co-valuations on torsion-complete p-groups, Lecture Notes in Math.616, Abelian Groups Theory, Proc. 2nd New Mexico State University Conference 1976, Springer-Verlag, 1977, pp. 337-353. Zbl0375.20039MR460492
13. [13] W. May - E. TUBASSI, Endomorphisms of abelian groups and the theorem of Baer and Kaplansky, Journal of Algebra, 43 (1976), pp. 1-13. Zbl0353.20041MR422454
14. [14] A. Orsatti, Anelli di endomorfismi di gruppi abeliani senza torsione, Istituto Nazionale di Alta Matematica, Symposia Mathematica, 8 (1972), pp. 179-191. Zbl0248.16001MR338216
15. [15] Ph.SCHULTZ, On a paper on Szele and Szendrei on groups with commutative endomorphism rings, Acta Mathematica Academiae Scientiarum Hungaricae, 24 (1973), pp. 59-63. Zbl0259.20046MR316598