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On products of modules in a topos

Part of: Algebraic logic Special categories

Published online by Cambridge University Press:  09 April 2009

Javad Tavakoli
Javad Tavakoli
Affiliation:
Department of Mathematics, Mashhad UniversityMashhad, Iran
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Abstract

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In an elementary topos if R is a ring and X is a decidable object then there exists a canonical homomorphism from the coproduct of an X-family of R-modules to the product of the same family. In this paper it is shown that this homomorphisms is a monomorphism.

MSC classification

Secondary: 18B25: Topoi 03G30: Categorical logic, topoi
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 3 , June 1985 , pp. 416 - 420
Copyright
Copyright © Australian Mathematical Society 1985

References

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[3]Paré, R. and Schumacher, D., ‘Abstract families and the adjoint functor theorems’ (Indexed Categories and their Application, Springer Lecture Notes in Math. 661 (1978)), 1–125.Google Scholar
[4]Tavakoli, J., Vector spaces in topoi, Ph.D., thesis, Daihousie University, Canada (1980).Google Scholar
[5]Tavakoli, J., ‘Elements of free modules in topoi’, Comm. in Alg. 10(2) 171–201 (1982).CrossRefGoogle Scholar