Article
MSC:
16S50,
20K15,
20K20,
20K30,
20K40 | MR 1288163 | Zbl 0831.20071 | DOI: 10.21136/CMJ.1994.128482
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References:
[A1] U. Albrecht: Endomorphism rings and $A$-projective torsion-free abelian groups. Abelian group theory proceedings, LNM 1006, Springer-Verlag, 1982–3. MR 0722620
[A] D. M. Arnold: Finite rank torsion free abelian groups and rings, LNM 931. Springer-Verlag, 1982. MR 0665251
[AP] D. M. Arnold, R. S. Pierce, J.D. Reid, C. Vinsonhaler, W. Wickless: Torsion-free abelian groups of finite rank projective as modules over their endomorphism rings. Journal of Algebra 71(1) (1981), 1–10. DOI 10.1016/0021-8693(81)90102-2 | MR 0627421
[G] K. R. Goodearl: Ring theory: Nonsingular rings and modules. Marcel Dekker, Inc., New York and Basel, 1976. MR 0429962 | Zbl 0336.16001
[Go] H. P. Goeters: Flatness and the ring of quasi-endomorphism. submitted.
[R] J. D. Reid: On quasi-decompositions of torsion-free abelian groups. Proc. Amer. Math. Soc. 13 (1962), 550–554. MR 0137760 | Zbl 0113.25401
[Rn] J. Rotman: An introduction to homological algebra. Academic Press, 1979. MR 0538169 | Zbl 0441.18018
[RW] F. Richman, E. Walker: Cotorsion free, an example of relative injectivity. Math. Z. 102 (1967), 115–117. DOI 10.1007/BF01112078 | MR 0218453
[U] F. Ulmer: A flatness criterion in Grothendieck categories. Inv. Math. 19 (1973), 331–336. DOI 10.1007/BF01425418 | MR 0335601
[V] C. Vinsonhaler: The divisible and $E$-injective hulls of a torsion-free group. Abelian groups and modules. Proceedings of the Udine conference, CISM No. 287, Springer-Verlag, 1984. MR 0789815 | Zbl 0559.20038
[VW] C. Vinsonhaler, W. Wickless: Injective hulls of torsion-free abelian groups as modules over their endomorphism rings. Mateřídouška 58(1) (1979), 64–69. MR 0535843
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