Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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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)
  • Received : 2014.02.28
  • Accepted : 2014.03.27
  • Published : 2014.06.30
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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.

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References

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  1. Reflexive property on rings with involution pp.1793-7183, 2018, https://doi.org/10.1142/S1793557120500114
  2. An extension of the reflexive property of rings vol.25, pp.2, 2014, https://doi.org/10.1016/j.ajmsc.2018.11.003
  3. Reflexive-nilpotents-property skewed by ring endomorphisms vol.9, pp.1, 2014, https://doi.org/10.1007/s40065-018-0229-1