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Totally pure sequences and totally pure projection

Published online by Cambridge University Press:  09 April 2009

Donald Cook
Donald Cook
Affiliation:
Kansas State University Manhattan, 66502, U.S.A.
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All groups in this paper are Abelian. The notation is similar to Fuchs (1970) and Maclane (1963).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 21 , Issue 1 , February 1976 , pp. 5 - 11
Copyright
Copyright © Australian Mathematical Society 1976

References

Cook, D. (to appear), ‘Complete Exact Sequences’, Fund. Math.Google Scholar
Crowley, P. and Hales, A. W. (1969), ‘The structure of Abelian p-groups given by certain presentations’, J. Algebra 12, 10–23.CrossRefGoogle Scholar
Fuchs, L. (1970), Infinite Abelian Groups, Vol. 1 (Academic Press, New York and London (1970)).Google Scholar
Hill, P. (1967), ‘Ulm's theorem for totally projective groups’ Abstract 652–15, Notices Am. Soc. 14, 940.Google Scholar
Irwin, J. M., Walker, C. and Walker, E. A. (1963), On paa-pure sequences of Abelian groups, Topics in Abelian Groups (ed. by Irwin, J. M. and Walker, E. A., Scott Foresman and Co., Chicago (1963), 69–119).Google Scholar
MacLane, S. (1963), Homology (Springer-Verlag, Berlin (1963)).CrossRefGoogle Scholar
Nunke, R. J. (1963), Purity and subfunctions of the identity, Topics in Abelian Groups, (ed. by Irwin, J. M. and Walker, E. A., Scott-Foresman and Co., Chicago (1963)), 121–171.Google Scholar
Nunke, R. J. (1967), ‘Homology and direct sums of countable Abelian groups’, Math. Z. 101, 182–212.CrossRefGoogle Scholar
Richman, F. (to appear), ‘Totally injectives are torsion complete plus divisible’.Google Scholar
Ulm, H. (1933), ‘Zur theorie der abzählbarunendlichen abelsehen Gruppen’, Math. Ann. 107, 774–803.CrossRefGoogle Scholar