On The Homology Theory Of Abelian Groups

1 January 1955

journal article
Published by Canadian Mathematical Society in Canadian Journal of Mathematics

Vol. 7, 43-53
https://doi.org/10.4153/cjm-1955-006-6

Abstract

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).

Keywords

INTRODUCTION
INTERESTING
NOTIONS
COMMUTATIVE
HOMOLOGY THEORY
THEORY OF ABELIAN
CONSTRUCTIONÂ
ACYCLICITYÂ

This publication has 3 references indexed in Scilit:

On the Groups H(Π, n), II: Methods of Computation
Annals of Mathematics, 1954
On the Groups H(Π, n), I
Annals of Mathematics, 1953
Homology theories for multiplicative systems
Transactions of the American Mathematical Society, 1951