Korean J. Math. Vol. 22 No. 2 (2014) pp.217-234
DOI: https://doi.org/10.11568/kjm.2014.22.2.217

Reflexive property skewed by ring endomorphisms

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Published: Jun 11, 2014
Keywords:
$\alpha$-skew reflexive ring, matrix ring, $\alpha$-rigid ring, IFP ring
Mathematics Subject Classification:
16W20, 16U80

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Tai Keun Kwak
Department of Mathematics, Daejin University
Yang Lee
Department of Mathematics Education, Pusan National University
Sang Jo Yun
Department of Mathematics, Pusan National University

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 α-skew reflexive ring, where α is an endomorphism of a given ring.


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