Algebraic Characterization of Rings of Continuous p-Adic Valued Functions

Publikationstyp: Zeitschriftenartikel
Publikationsstatus: Published
Autor/innen: Volkweis Leite, Samuel; Prestel, Alexander
Erscheinungsjahr: 2016
Erschienen in: Communications in Algebra ; 44 (2016), 2. - S. 486-499. - ISSN 0092-7872. - eISSN 1532-4125
DOI (zitierfähiger Link): https://dx.doi.org/10.1080/00927872.2014.980892
Zusammenfassung:
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.
Fachgebiet (DDC): 510 Mathematik
Schlagwörter: Banach algebras, Normed rings, p-adic representations, p-adic spectrum, p-valuations
Universitätsbibliographie: Ja

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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

@article{VolkweisLeite2016Algeb-33408, title={Algebraic Characterization of Rings of Continuous p-Adic Valued Functions}, year={2016}, doi={10.1080/00927872.2014.980892}, 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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