Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2009; 46(3): 489-498

Printed May 1, 2009

https://doi.org/10.4134/BKMS.2009.46.3.489

Copyright © The Korean Mathematical Society.

On separative refinement monoids

Huanyin Chen

Hangzhou Normal University

Abstract

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We obtain two new characterizations of separativity of refinement monoids, in terms of comparability-type conditions. As applications, we get several equivalent conditions of separativity for exchange ideals.

Keywords: refinement monoid, separativity, exchange ideal

MSC numbers: 20M14, 16E50

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