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Projective modules over pullback rings

Published online by Cambridge University Press:  24 October 2008

A. N. Wiseman
Affiliation:
Department of Engineering Mathematics, LoughboroughUniversity of Technology

Extract

Given two homomorphisms of rings j1:R1R' and j2: R2R' we may construct a new ring R called the pullback of R1 and R2 over R', together with homomorphisms i1:RR1 and i2:RR2 such that j1i1= j2i2. There are many instances where special cases of pullbacks have been studied, either to construct new examples of rings or to reduce various problems to those concerning much simpler rings. A few of these instances are given in the references. Thus a general study of the properties of pullbacks in terms of those of the component rings would seem to be useful.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

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