Characterizations of Outer Generalized Inverses. Issue 4 (1st December 2017)

• Record Type: Journal Article
• Authors: Wang, Long; Castro-Gonzalez, Nieves; Chen, Jianlong
• Is Part Of: Canadian mathematical bulletin =. Volume 60:Issue 4(2017)
• Page Start: 861
• Page End: 871
• Publication Date: 2017-12-01
• Subjects: 15A09 -- 16U99; (b, c)-inverse -- (b, c)-idempotent -- regularity -- image-kernel (p, q)-inverse -- ring; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.4153/CMB-2016-080-5
• Languages: English
• ISSNs: 0008-4395

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.