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Some constructions of rings of finite global dimension

Published online by Cambridge University Press:  18 May 2009

J. C. Robson
J. C. Robson
Affiliation:
School of Mathematics, University of Leeds, Leeds, EnglandLS2 9JT
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In the study of idealizer rings in [14], the global dimensions of certain subrings were calculated. This work was extended by Goodearl [9]. Here it is shown, in Section 1, that the techniques involved can be used rather more generally than was apparent there. The results concern a ring S with a right ideal A such that SA = S, and a subring R of S containing A. They describe gl dim R in terms of gl dim S and the projective dimensions of simple subfactors of S/R or R/A, provided that these R-modules are sufficiently well conditioned.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 26 , Issue 1 , January 1985 , pp. 1 - 11
Copyright
Copyright © Glasgow Mathematical Journal Trust 1985

References

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