On Regular Rings Satisfying Weak Chain Condition

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Abstract

<p>In this paper, we shall study regular rings satisfying weak chain condition. As main results, we show that regular rings satisfying weak chain condition are unit-regular, and show that these rings have the unperforation and power cancellation properties for the family of finitely generated projective modules.</p>

Journal

  • Mathematical Journal of Okayama University

    Mathematical Journal of Okayama University 48(1), 33-42, 2006-01

    Department of Mathematics, Faculty of Science, Okayama University

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