By Birger Iversen
ISBN-10: 0387053018
ISBN-13: 9780387053011
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Example text
Algebra 26(11) (1998), 3563-3580. [F] L. Fuchs, "Infinite Abelian Groups", Vol. I-II, Academic Press, New York, 1970, 1973. [O'MVl] K. O'Meara and C.
Abraham and P. Schultz (a) Suppose H is closed. Let / £ H*. Then there exists a Let Oj £ Ai correspond to a via an isomorphism A == A^. Deleting another finite summand from A, if necessary, we can assume that, for 1 < i < i, Pi(hi) = mja^ for a collection of integers {mi, . . , mt}. Since hi is divisible in either H or in An by no prime in U U W, it follows that gcd {mi, . . , mt} = I . Say that si, . . , st are integers such that ^i=1 SiTUi = I. For 1 < i < t, let (f>i: Ai = HI be the natural 22 U. Albrecht and B. Wickless isomorphism taking a» to hi, and define 9: An —> H \ by 9 = Xa=i si4>iPi- A simple computation shows that d\H = \HI and the proof is complete.
Linear Determinants with Applications to the Picard Scheme of a Family of Algebraic Curves by Birger Iversen
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