On torsion abelian groups quasi-projective over their endomorphism rings
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- by László Fuchs PDF
- Proc. Amer. Math. Soc. 42 (1974), 13-15 Request permission
Abstract:
It is shown that a torsion abelian group is quasi-projective over its endomorphism ring exactly if, for every prime p, its p-component is bounded or has an unbounded basic subgroup.References
- George D. Poole and James D. Reid, Abelian groups quasi-injective over their endomorphism rings, Canadian J. Math. 24 (1972), 617–621. MR 310091, DOI 10.4153/CJM-1972-056-6
- F. Richman, Detachable $p$-groups and quasi-injectivity, Acta Math. Acad. Sci. Hungar. 27 (1976), no. 1-2, 71–73. MR 414744, DOI 10.1007/BF01896758
- Fred Richman and Elbert A. Walker, Primary abelian groups as modules over their endomorphism rings, Math. Z. 89 (1965), 77–81. MR 185004, DOI 10.1007/BF01111715
- Fred Richman and Elbert A. Walker, Modules over PIDs that are injective over their endomorphism rings, Ring theory (Proc. Conf., Park City, Utah, 1971) Academic Press, New York, 1972, pp. 363–372. MR 0354780
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 13-15
- MSC: Primary 20K10
- DOI: https://doi.org/10.1090/S0002-9939-1974-0323919-3
- MathSciNet review: 0323919