Rank equalities related to a class of outer generalized inverse
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DOI: 10.2298/fil1917611c
Abstract: In 2012, Drazin introduced a class of outer generalized inverse in a ring R, the (b,c)-inverse of a for a, b, c ? R and denoted by a||(b,c). In this paper, rank equalities of AkA||(B,C)-… read more here.
Keywords: rank equalities; generalized inverse; outer generalized; class outer ... See more keywords
Characterizations of Outer Generalized Inverses
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DOI: 10.4153/cmb-2016-080-5
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,… read more here.
Keywords: generalized inverses; characterizations outer; outer generalized;