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http://dx.doi.org/10.4134/JKMS.2015.52.3.649

INSERTION-OF-FACTORS-PROPERTY WITH FACTORS MAXIMAL IDEALS  

Jin, Hai-Lan (Department of Mathematics Yanbian University)
Jung, Da Woon (Department of Mathematics Pusan National University)
Lee, Yang (Department of Mathematics Pusan National University)
Ryu, Sung Ju (Department of Mathematics Pusan National University)
Sung, Hyo Jin (Department of Mathematics Pusan National University)
Yun, Sang Jo (Department of Mathematics Pusan National University)
Publication Information
Journal of the Korean Mathematical Society / v.52, no.3, 2015 , pp. 649-661 More about this Journal
Abstract
Insertion-of-factors-property, which was introduced by Bell, has a role in the study of various sorts of zero-divisors in noncommutative rings. We in this note consider this property in the case that factors are restricted to maximal ideals. A ring is called IMIP when it satisfies such property. It is shown that the Dorroh extension of A by K is an IMIP ring if and only if A is an IFP ring without identity, where A is a nil algebra over a field K. The structure of an IMIP ring is studied in relation to various kinds of rings which have roles in noncommutative ring theory.
Keywords
IMIP ring; maximal ideal; IFP ring; Dorroh extension; idempotent;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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