Journal of Symbolic Logic

Elementary epimorphisms

Philipp Rothmaler

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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).

Article information

Source
J. Symbolic Logic, Volume 70, Issue 2 (2005), 473-487.

Dates
First available in Project Euclid: 1 July 2005

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1120224724

Digital Object Identifier
doi:10.2178/jsl/1120224724

Mathematical Reviews number (MathSciNet)
MR2140042

Zentralblatt MATH identifier
1093.03021

Citation

Rothmaler, Philipp. Elementary epimorphisms. J. Symbolic Logic 70 (2005), no. 2, 473--487. doi:10.2178/jsl/1120224724. https://projecteuclid.org/euclid.jsl/1120224724


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