Locally Compact Rings. II.

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1951Publisher:JSTORJournal:American Journal of Mathematics, volume 73, page 20 (issn: 0002-9327,

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Authors: Kaplansky, Irving;

doi: 10.2307/2372155 , 10.2307/2372235

Locally Compact Rings. II.

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Abstract

Un anneau primitif localement compact non discret de caractéristique 0 est une algèbre de dimension finie sur son centre. Même conclusion pour un anneau simple localement compact et non discret possédant des idéaux minimaux. Un théorème de l'A. sur les anneaux semi-simples localement compacts bornés est géneralisé. Part II, voir Am. J. Math. 73, 20--24 (1951; Zbl 0045.16102).

Keywords

locally compact rings, lattices, rings, fields, Topological and ordered rings and modules

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