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Communications in Algebra Volume 28, 2000 - Issue 2

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Original Articles

Coherent archimedean f-rings

Boris Lavrič Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, Ljubljana, 1000, Slovenia

Pages 1091-1096 | Received 01 Oct 1998, Published online: 27 Jun 2007

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https://doi.org/10.1080/00927870008826880

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Abstract

Let Abe an Archimedean uniformly complete f-algebra with unit element. It is proved that the following conditions are equivalent:(1) Ais semi-hereditary; (2) Ais coherent; (3) Ais projectable; (4) Ais Dedekind σ-complete.

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