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http://dx.doi.org/10.4134/JKMS.2015.52.6.1161

INSERTION-OF-FACTORS-PROPERTY ON SKEW POLYNOMIAL RINGS  

BASER, MUHITTIN (DEPARTMENT OF MATHEMATICS KOCATEPE UNIVERSITY)
HICYILMAZ, BEGUM (DEPARTMENT OF MATHEMATICS KOCATEPE UNIVERSITY)
KAYNARCA, FATMA (DEPARTMENT OF MATHEMATICS KOCATEPE UNIVERSITY)
KWAK, TAI KEUN (DEPARTMENT OF MATHEMATICS DAEJIN UNIVERSITY)
LEE, YANG (DEPARTMENT OF MATHEMATICS PUSAN NATIONAL UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.52, no.6, 2015 , pp. 1161-1178 More about this Journal
Abstract
In this paper, we investigate the insertion-of-factors-property (simply, IFP) on skew polynomial rings, introducing the concept of strongly ${\sigma}-IFP$ for a ring endomorphism ${\sigma}$. A ring R is said to have strongly ${\sigma}-IFP$ if the skew polynomial ring R[x;${\sigma}$] has IFP. We examine some characterizations and extensions of strongly ${\sigma}-IFP$ rings in relation with several ring theoretic properties which have important roles in ring theory. We also extend many of related basic results to the wider classes, and so several known results follow as consequences of our results.
Keywords
strongly ${\sigma}-IFP$ ring; (strongly) IFP ring; ${\sigma}$-rigid ring; skew poly-nomial ring; Dorroh extension; matrix ring;
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Times Cited By KSCI : 3  (Citation Analysis)
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