Fields With Several Commuting Derivations

This paper gives in geometric fashion the model-companion of the theory of fields (in arbitrary characteristic) with a given finite number of commuting derivations. The citation given by Cambridge Core reads:

Pierce, D. (2014) ‘Fields with several commuting derivations’, The Journal of Symbolic Logic, 79(1), pp. 1–19. doi: 10.1017/jsl.2013.19.

I was informed of the publication on Cambridge Core on December 16, 2016. I was given a “Personal author code,” along with the following “Sharing code”:

1E06E1CF9E3A6EE0D79E88AAEC14EE7D

This code was accompanied by the directive, “share this article with your peers.”

Final submission

Version of June 5, 2013: a slight revision of the previous version, which on May 1, 2013, was accepted for publication. It was indeed published in the Journal of Symbolic Logic 79 (2014), no. 1, 1–19.

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Second revised version

Version of May 11, 2012, revised according to the report received on December 26, 2011.

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Revised version

Version of May 18, 2010, revised according to the suggestions of the referee's report received on February 8, 2010.

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Originally submitted version

This is the paper as submitted on March 12, 2008.

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ArXiv version

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(The LaTeX files of the first two versions above use the asl documentclass. When I attempted to submit such a file to the ArXiv, I found that this does not have the asl documentclass. So I went back and converted the paper to use the amsdoc documentclass. The submitted version was (mildly) edited after the version for the ArXiv was created.)