Algebraic Characterization of Rings of Continuous p-Adic Valued Functions

Volkweis Leite, Samuel; Prestel, Alexander

Algebraic Characterization of Rings of Continuous p-Adic Valued Functions

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Date

2016

Publication type

Journal article

Publication status

Published

Published in

Communications in Algebra ; 44 (2016), 2. - pp. 486-499. - ISSN 0092-7872. - eISSN 1532-4125

Abstract

The aim of this article is to characterize among the class of all commutative rings containing ℚ the rings C(X, ℚp) of all continuous ℚp-valued functions on a compact space X. The characterization is similar to that of M. Stone from 1940 (see [9]) for the case of ℝ-valued functions. The Characterization Theorem 4.6 is a consequence of our main result, the p-adic Representation Theorem 4.5.

Subject (DDC)

510 Mathematics

Keywords

Banach algebras, Normed rings, p-adic representations, p-adic spectrum, p-valuations

Cite This

ISO 690

VOLKWEIS LEITE, Samuel, Alexander PRESTEL, 2016. Algebraic Characterization of Rings of Continuous p-Adic Valued Functions. In: Communications in Algebra. 44(2), pp. 486-499. ISSN 0092-7872. eISSN 1532-4125. Available under: doi: 10.1080/00927872.2014.980892

BibTex

@article{VolkweisLeite2016Algeb-33408,
  year={2016},
  doi={10.1080/00927872.2014.980892},
  title={Algebraic Characterization of Rings of Continuous p-Adic Valued Functions},
  number={2},
  volume={44},
  issn={0092-7872},
  journal={Communications in Algebra},
  pages={486--499},
  author={Volkweis Leite, Samuel and Prestel, Alexander}
}

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Bibliography of Konstanz

Yes