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On the Square of a Homological Monoid

Published online by Cambridge University Press:  20 November 2018

Rosemary Bonyun
Rosemary Bonyun*
Affiliation:
McGill University
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Homological monoids, as first defined by Hilton and Ledermann [ l ], are a generalization of abelian categories. It is known that if is an abelian category, so is here we prove the more general theorem that if is a homological monoid, so is . Our definition differs from that originally given by Hilton and Ledermann by the addition of a uniqueness condition in Axiom 1.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 1 , April 1966 , pp. 49 - 55
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Hilton, P. J. and Ledermann, W., On the Jordan-Hölder Theorem in Homological Monoids, Proc. London Math. Soc., 10(1960), pp. 321-334.Google Scholar