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http://dx.doi.org/10.4134/BKMS.2005.42.3.527

COUNTABLE RINGS WITH ACC ON ANNIHILATORS  

HIRANO YASUYUKI (DEPARTMENT OF MATHMATHICS, OKYAMA UNIVERSITY)
KIM HONG KEE (DEPARTMENT OF MATHMATHICS, GYEONGSANG NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 527-534 More about this Journal
Abstract
We consider countable rings with ascending chain condition on right annihilators. We determine the structure of a countable right p-injective Baer ring, a countable semi prime quasi-Baer ring and a countable quasi-Baer biregular ring.
Keywords
countable ring; ascending chain condition on annihilators;
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