INSERTION-OF-FACTORS-PROPERTY ON SKEW POLYNOMIAL RINGS

Title & Authors
INSERTION-OF-FACTORS-PROPERTY ON SKEW POLYNOMIAL RINGS
BASER, MUHITTIN; HICYILMAZ, BEGUM; KAYNARCA, FATMA; KWAK, TAI KEUN; LEE, YANG;

Abstract
In this paper, we investigate the insertion-of-factors-property (simply, IFP) on skew polynomial rings, introducing the concept of strongly $\small{{\sigma}-IFP}$ for a ring endomorphism $\small{{\sigma}}$. A ring R is said to have strongly $\small{{\sigma}-IFP}$ if the skew polynomial ring R[x;$\small{{\sigma}}$] has IFP. We examine some characterizations and extensions of strongly $\small{{\sigma}-IFP}$ 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 $\small{{\sigma}-IFP}$ ring;(strongly) IFP ring;$\small{{\sigma}}$-rigid ring;skew poly-nomial ring;Dorroh extension;matrix ring;
Language
English
Cited by
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