Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (2): 283-285.

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Inclusion Properties of Generalized Inverses in Idempotent Reflexive Rings

SUN Yuhu1, WANG Long2   

  1. 1. Department of Basic Education, Xuhai College, China University of Mining and Technology, Xuzhou 221008, Jiangsu Province, China;
    2. School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, Jiangsu Province, China
  • Received:2020-07-29 Online:2021-03-26 Published:2021-03-26

Abstract: We considered inclusion properties of generalized inverses in an idempotent reflexive *-ring, and proved that a=b if and only if a{1,3}=b{1,3} for two {1,3}-invertible elements a and b of an idempotent reflexive *-ring.

Key words: idempotent reflexive ring, generalized inverse, *-ring

CLC Number: 

  • O153.3