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Differential spaces of finite type

Published online by Cambridge University Press:  24 October 2008

Juan A. Navarro Gonzalez
Juan A. Navarro Gonzalez
Affiliation:
Departamento de Matemáticas, Universidad de Extremadura, 06071-Badajoz, Spain
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Abstract

This paper shows that the localization theory for algebras of smooth functions and Fréchet modules provides a basis for a theory of differential spaces of finite type, as well as the usual localization theory for commutative rings and modules grounds the theory of schemes. Moreover, most of the elementary results and proofs in the theory of schemes remain valid for differential spaces.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 117 , Issue 2 , March 1995 , pp. 371 - 384
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

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