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http://dx.doi.org/10.11568/kjm.2014.22.2.217

REFLEXIVE PROPERTY SKEWED BY RING ENDOMORPHISMS  

Kwak, Tai Keun (Department of Mathematics Daejin University)
Lee, Yang (Department of Mathematics Pusan National University)
Yun, Sang Jo (Department of Mathematics Pusan National University)
Publication Information
Korean Journal of Mathematics / v.22, no.2, 2014 , pp. 217-234 More about this Journal
Abstract
Mason extended the reflexive property for subgroups to right ideals, and examined various connections between these and related concepts. A ring was usually called reflexive if the zero ideal satisfies the reflexive property. We here study this property skewed by ring endomorphisms, introducing the concept of an ${\alpha}$-skew reflexive ring, where is an endomorphism of a given ring.
Keywords
${\alpha}$-skew reflexive ring; matrix ring; ${\alpha}$-rigid ring; IFP ring;
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1 J.L. Dorroh, Concerning adjunctins to algebras, Bull. Amer. Math. Soc. 38 (1932), 85-88.   DOI
2 Y. Hirano, On annihilator ideals of a polynomial ring over a noncommutative ring, J. Pure Appl. Algebra 168 (2002), 45-52.   DOI   ScienceOn
3 C. Y. Hong, N. K. Kim and T. K. Kwak, Ore extensions of Baer and p.p.-rings, J. Pure Appl. Algebra 151 (2000), 215-226.   DOI   ScienceOn
4 N.K. Kim and Y. Lee, Armendariz rings and reduced rings, J. Algebra 223 (2000), 477-488.   DOI   ScienceOn
5 J. Krempa, Some examples of reduced rings, Algebra Colloq. 3 (1996), 289-300.
6 T.K. Kwak and Y. Lee, Reflexive property of rings, Comm. Algebra 40 (2012), 1576-1594.   DOI   ScienceOn
7 H.E. Bell, Near-rings in which each element is a power of itself, Bull. Austral. Math. Soc. 2 (1970), 363-368   DOI
8 P. M. Cohn, Reversible rings, Bull. London Math. Soc. 32 (1999), 641-648.
9 E.P. Armendariz, A note on extensions of Baer and P.P.-rings, J. Austral. Math. Soc. 18 (1974), 470-473.   DOI
10 M. Baser, C. Y. Hong and T. K. Kwak, On Extended Reversible Rings, Algebra Colloq. 16 (2009), 37-48.   DOI
11 G. Mason, Reflexive ideals, Comm. Algebra 9 (1981), 1709-1724.   DOI   ScienceOn
12 J.C. McConnell and J.C. Robson, Noncommutative Noetherian Rings, John Wiley & Sons Ltd., 1987.