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Note on weak dimension of algebras

Published online by Cambridge University Press:  09 April 2009

R. K. Markanda
R. K. Markanda
Affiliation:
Centre for Advance Study and Research in Mathematics Panjab UniversityChandigarh-14, India
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Let ∧ be a K-algebra over a commutative ring K. Harada [5] has introduced the notion of weak dimension of algebras ∧ (denoted by w. dim ∧) analogous to the dimension of algebras in Cartan and Eilenberg [3].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 1-2 , August 1969 , pp. 194 - 196
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Auslander, M., ‘On dimension of modules and algebras III’, Nagoya Math. J., 9 (1955), 67–77.CrossRefGoogle Scholar
[2]Auslander, M., ‘On dimension of modules and algebras VI’, Nagoya Math. J. 11 (1957), 61–65.CrossRefGoogle Scholar
[3]Cartan, H. and Eilenberg, S., Homological algebra (Princeton University Press), 1956.Google Scholar
[4]Eilenberg, S., ‘Algebras of cohomologically finite dimension’, Commentrii Math. Helv. 28 (1954), 310–319.CrossRefGoogle Scholar
[5]Harada, M., ‘The weak dimension of algebras and its applications’, J. Inst. Poly. Osaka City Univ., Vol. 9, No. 2 (1958), 47–58.Google Scholar