On Krull's Separation Lemma

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Bernhard Banaschewski
  • Marcel Erné

Organisationseinheiten

Externe Organisationen

  • McMaster University
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Details

OriginalspracheEnglisch
Seiten (von - bis)253-260
Seitenumfang8
FachzeitschriftORDER
Jahrgang10
Ausgabenummer3
PublikationsstatusVeröffentlicht - Sept. 1993

Abstract

We show that Krull's Separation Lemma for arbitrary rings and a certain lattice-theoretical generalization of it are equivalent to the classical Prime Ideal Theorem for Boolean algebras. As an application, we derive the intersection theorem for Baer radicals from choice principles weaker than the Axiom of Choice. A central tool for our considerations are Scott-open m-filters in quantales.

ASJC Scopus Sachgebiete

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On Krull's Separation Lemma. / Banaschewski, Bernhard; Erné, Marcel.
in: ORDER, Jahrgang 10, Nr. 3, 09.1993, S. 253-260.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Banaschewski, B & Erné, M 1993, 'On Krull's Separation Lemma', ORDER, Jg. 10, Nr. 3, S. 253-260. https://doi.org/10.1007/BF01110546
Banaschewski, B., & Erné, M. (1993). On Krull's Separation Lemma. ORDER, 10(3), 253-260. https://doi.org/10.1007/BF01110546
Banaschewski B, Erné M. On Krull's Separation Lemma. ORDER. 1993 Sep;10(3):253-260. doi: 10.1007/BF01110546
Banaschewski, Bernhard ; Erné, Marcel. / On Krull's Separation Lemma. in: ORDER. 1993 ; Jahrgang 10, Nr. 3. S. 253-260.
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