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An ultrapower analogue of the Kronecker function ring

Volume 252 / 2021

K. Alan Loper, Dario Spirito Fundamenta Mathematicae 252 (2021), 103-119 MSC: 13A15, 13F30, 03C20, 13F05. DOI: 10.4064/fm833-4-2020 Published online: 11 July 2020

Abstract

We introduce an analogue of the Kronecker function ring construction in the ultrapower setting, and study when it gives a Bézout domain.

Authors

  • K. Alan LoperDepartment of Mathematics
    The Ohio State University
    Newark, OH 43055, U.S.A.
    e-mail
  • Dario SpiritoDipartimento di Matematica e Fisica
    Università degli Studi Roma Tre
    Largo San Leonardo Murialdo 1
    00146 Roma, Italy
    and
    Dipartimento di Matematica “Tullio Levi-Civita”
    Università degli Studi di Padova
    Via Trieste 63
    35121 Padova, Italy
    e-mail
    e-mail

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