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Elementary epimorphisms

Published online by Cambridge University Press:  12 March 2014

Philipp Rothmaler
Philipp Rothmaler*
Affiliation:
Department of Mathematics, The Ohio State University, 4240 Campus Drive, Lima, OH 45804, USA, E-mail: rothmaler.1@osu.edu
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Abstract

The concept of elementary epimorphism is introduced. Inverse systems of such maps are considered, and a dual of the elementary chain lemma is found (Cor. 4.2). The same is done for pure epimorphisms (Cor. 4.3 and 4.4). Finally, this is applied to certain inverse limits of flat modules (Thm. 6.4) and certain inverse limits of absolutely pure modules (Cor. 6.3).

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Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 2 , June 2005, pp. 473 - 487
Copyright
Copyright © Association for Symbolic Logic 2005

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References

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