A Dedekind-Mertens theorem for power series rings
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- by Neil Epstein and Jay Shapiro
- Proc. Amer. Math. Soc. 144 (2016), 917-924
- DOI: https://doi.org/10.1090/proc/12661
- Published electronically: November 18, 2015
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Abstract:
We prove a power series ring analogue of the Dedekind-Mertens lemma. Along the way, we give limiting counterexamples, we note an application to integrality, and we correct an error in the literature.References
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Bibliographic Information
- Neil Epstein
- Affiliation: Department of Mathematical Sciences, George Mason University, Fairfax, Virginia 22030
- MR Author ID: 768826
- Email: nepstei2@gmu.edu
- Jay Shapiro
- Affiliation: Department of Mathematical Sciences, George Mason University, Fairfax, Virginia 22030
- Email: jshapiro@gmu.edu
- Received by editor(s): February 5, 2014
- Received by editor(s) in revised form: October 8, 2014
- Published electronically: November 18, 2015
- Communicated by: Irena Peeva
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 917-924
- MSC (2010): Primary 13F25, 13A15
- DOI: https://doi.org/10.1090/proc/12661
- MathSciNet review: 3447645