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Projective modules over pullback rings

Published online by Cambridge University Press:  24 October 2008

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

Given two homomorphisms of rings j1:R1 → R' and j2: R2 → R' we may construct a new ring R called the pullback of R1 and R2 over R', together with homomorphisms i1:R →R1 and i2:R→R2 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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 3 , May 1985 , pp. 399 - 406
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

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