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Archimedische Teilbarkeitshalbgruppen und quaderalgebren

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Abstract

In his fundamental contribution to the theory of lattice ordered groups [2], G. Birkhoff conjectured that every complete 1-group and thereby every archimedean 1-group, too, is commutative. On eyear later K. Iwasawa was the first who gave a proof of this conjecture [7]. In this paper we show that the result of Birkhoff-Iwasawa is true in a slightly modified manner even in d-semigroups.

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Literatur

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Authors and Affiliations

  1. Fachbereich Mathematik, 35, G.H. Kassel, Bundesrepublik Deutschland

    Bruno Bosbach

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  1. Bruno Bosbach
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Communicated by M. Petrich

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Bosbach, B. Archimedische Teilbarkeitshalbgruppen und quaderalgebren. Semigroup Forum 20, 319–334 (1980). https://doi.org/10.1007/BF02572692

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  • DOI: https://doi.org/10.1007/BF02572692

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