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On The Homology Theory Of Abelian Groups

Published online by Cambridge University Press:  20 November 2018

Samuel Eilenberg  and
Saunders Maclane
Samuel Eilenberg
Affiliation:
Columbia University
Saunders Maclane
Affiliation:
The University of Chicago
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1. Introduction. In (1) we have introduced the notions of “construction” and “ generic acyclicity” in order to determine a homology theory for any class of multiplicative systems defined by identities. Among these classes the most interesting one is the class of associative and commutative systems II with a unit element (containing the class of abelian groups).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 43 - 53
Copyright
Copyright © Canadian Mathematical Society 1955

References

1. Eilenberg, Samuel and MacLane, Saunders, Homology theories for multiplicative systems. Trans. Amer. Math. Soc, 71 (1951), 294–330.Google Scholar
2. Eilenberg, Samuel and MacLane, Saunders, On the groups H (II, n), I, Ann. Math., 58 (1953), 55–106.Google Scholar
3. Eilenberg, Samuel and MacLane, Saunders, On the groups H(II, n), II, Ann. Math., 60 (1954), 49–139.Google Scholar