The reverse order law of the (b, c)-inverse in semigroups
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DOI: 10.1007/s10474-016-0667-1
Abstract: We present equivalent conditions of reverse order law for the (b, c)-inverse $${(a_1a_2)^{(b, c)}=a_2^{(b, s)}a_1^{(t, c)}}$$(a1a2)(b,c)=a2(b,s)a1(t,c) to hold in a semigroup. Also, we study various mixed-type reverse order laws for the (b, c)-inverse. As a… read more here.
Keywords: order law; law inverse; order; reverse order ... See more keywords
Multiplicative perturbations of matrices and the generalized triple reverse order law for the Moore–Penrose inverse
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DOI: 10.1016/j.laa.2017.05.026
Abstract: Abstract For a matrix A, let A † denote its Moore–Penrose inverse. A matrix M is called a multiplicative perturbation of T ∈ C m × n if M = E T F ⁎ for… read more here.
Keywords: moore penrose; generalized triple; penrose inverse; reverse order ... See more keywords
Reverse order law for outer inverses and Moore-Penrose inverse in the context of star order
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DOI: 10.12688/f1000research.123411.1
Abstract: The reverse order law for outer inverses and the Moore-Penrose inverse is discussed in the context of associative rings. A class of pairs of outer inverses that satisfy reverse order law is determined. The notions… read more here.
Keywords: star; reverse order; order law; outer inverses ... See more keywords