Goursat's Theorem and Homological Algebra
- 1 January 1964
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 7 (4) , 597-608
- https://doi.org/10.4153/cmb-1964-055-7
Abstract
This expository note consists of two parts: In the first we present a homological formulation of Goursat's theorem. In the second we indicate how some rudimentary concepts of homological algebra can be introduced with the help of this form of Goursat's theorem. The second part is addressed to those readers with an algebraic background who wish to be initiated into homological algebra as painlessly as possible. The ideas developed here are close to the spirit of [5, Chapter II, § 6], where further references may be found. In fact, these ideas are very much in the air, and any originality in the present note is purely coincidental.This publication has 2 references indexed in Scilit:
- Goursats Theorem and the Zassenhaus LemmaCanadian Journal of Mathematics, 1958
- Sur les substitutions orthogonales et les divisions régulières de l'espaceAnnales Scientifiques de lʼÉcole Normale Supérieure, 1889