Relative (b; c)-inverses
Relative (b; c)-inverses
Received:July 06, 2022  Revised:October 31, 2022
英文关键词:16U90  16W20  16E50
Author NameAffiliationAddress
Liang Zhao Anhui University of Technology 243032
Jun Jiao Anhui University of Technology 243032
Wenxi Li Anhui University of Technology 243032
Hits: 61
Download times: 0
      We study the relative properties of (b, c)-inverses with respect to a ring endomorphism. A new class of generalized inverses named α-(b, c)-inverse is introduced and studied in a more general setting. We show by giving an example that (b, c)- inverses behave quite differently from α-(b, c)-inverse. The condition that an α-(b, c)- invertible element is precisely a (b, c)-invertible element is investigated. We also study the strongly clean decompositions for α-(b; c)-inverses. Some well-known results on (b, c)-inverses are extended and unified
  View/Add Comment  Download reader