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Towards a theory of R-modules modulo a Serre category

Published online by Cambridge University Press:  24 October 2008

David Kirby
David Kirby
Affiliation:
Faculty of Mathematical Studies, University of Southampton, Southampton, SO9 5NH
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Extract

This note is a brief excursion into a new theory of modules over a commutative ring R modulo a Serre subcategory S of the category of R-modules, in the sense that the modules of S are regarded as trivial. As a demonstration of the theory we have chosen to extend the primary decomposition theorem for submodules of a Noetherian .R-module from the familiar case of S trivial (i.e. the only R-module of S is the zero module) to the general case.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 1 , January 1992 , pp. 35 - 45
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

REFERENCES

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