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A note on divisible and codivisible dimension

Published online by Cambridge University Press:  17 April 2009

Paul E. Bland
Paul E. Bland
Affiliation:
Department of Mathematics, Eastern Kentucky University, Richmond, Kentucky, USA.
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Abstract

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In this paper the right global divisible dimension and the right global codivisible dimension of a ring R are studied relative to a torsion theory of modR. The main result shows that if (A, B) is a central splitting torsion theory on modR. then the right global divisible dimension of R with respect to (B, A) is equal to the right global codivisible dimension of R with respect to (A, B).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 12 , Issue 2 , April 1975 , pp. 171 - 177
Copyright
Copyright © Australian Mathematical Society 1975

References

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