Photo from academic.microsoft.com
Abstract Let $R$ be a ring and $b,c\in R$ . In this paper, we give some characterizations of the $(b,c)$ -inverse in terms of the direct sum decomposition, the annihilator,… Click to show full abstract
Abstract Let $R$ be a ring and $b,c\in R$ . In this paper, we give some characterizations of the $(b,c)$ -inverse in terms of the direct sum decomposition, the annihilator, and the invertible elements. Moreover, elements with equal $(b,c)$ -idempotents related to their $(b,c)$ -inverses are characterized, and the reverse order rule for the $(b,c)$ -inverse is considered.
Keywords:
generalized inverses;
characterizations outer;
outer generalized
Journal Title: Canadian Mathematical Bulletin
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Canadian Mathematical Bulletin
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!