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Sums of Complexes in Torsion Free Abelian Groups

Published online by Cambridge University Press:  20 November 2018

H. Heilbronn  and
P. Scherk
H. Heilbronn
Affiliation:
University of Toronto
P. Scherk
Affiliation:
University of Toronto
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Let A, B, denote two non-void finite complexes (= subsets) of the torsion free abelian group G,

Let d(A),… denote the maximum number of linearly independent elements of A,… and let n = n(A, B) denote the number of elements of A + B whose representation in the form a + b is unique. In the preceding paper, Tarwater and Entringer [1] proved that n ≥ d(A).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 4 , August 1969 , pp. 479 - 480
Copyright
Copyright © Canadian Mathematical Society 1969

References

1. Tarwater, J.D. and Entringer, R. C., Sums of complexes in torsion free abelian groups. Canad. Math. Bull. 12 (1969) 475–478.Google Scholar