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Character modules, dimension and purity

Published online by Cambridge University Press:  18 May 2009

David J. Fieldhouse
Affiliation:
University of Guelph, Guelph, Ontario, Canada
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In this paper we use the Bourbaki conventions for rings and modules: all rings are associative but not necessarily commutative and have an identity element; all modules are unital.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1972

References

REFERENCES

1.Bourbaki, N., Algèbre commutative (Paris, 1961).Google Scholar
2.Cartan, H. and Eilenberg, S., Homological algebra (Princeton, 1956).Google Scholar
3.Cohn, P. M., On the free product of associative rings I, Math. Z. 71 (1959), 380398.CrossRefGoogle Scholar
4.Fieldhouse, D., Pure theories, Math. Ann. 184 (1969), 118.CrossRefGoogle Scholar
5.Lambek, J., A module is flat if and only if its character module is injective, Canad. Math. Bull. 7 (1964), 279289.CrossRefGoogle Scholar
6.Lambek, J., Lectures on rings and modules (Blaisdell, 1966).Google Scholar
7.Maddox, B., Absolutely pure modules, Proc. Amer. Math. Soc. 18 (1967), 155158.CrossRefGoogle Scholar