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Absorption laws and reverse order laws for generalized core inverses
Communications in Algebra, 2021In this note, we give necessary and sufficient conditions for which the absorption laws and the reverse order laws of two kinds of generalized core inverses hold.
Yuefeng Gao +3 more
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The reverse order law of the (b, c)-inverse in semigroups
Acta Mathematica Hungarica, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, J., Ke, Y., Mosić, D.
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Reverse Order Law for the Drazin Inverse in Banach Spaces
Bulletin of the Iranian Mathematical Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Hua, Huang, Junjie
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Reverse order laws for \(\{1,2,3\}\)-generalized inverses
Appl. Math. Comput., 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dragana S. Cvetkovic-Ilic +1 more
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Identities concerning the reverse order law for the Moore–Penrose inverse
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nebojsa C. Dincic, Dragan S. Djordjevic
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Reverse Order Law for the Group Inverse in Semigroups and Rings
Communications in Algebra, 2015In this paper, we provide equivalent conditions for the two-sided reverse order law for the group inverse $(ab)^{\sharp}$ = b^{\sharp} a^{\sharp}$ and $(ba)^{\sharp} = a^{\sharp} b^{\sharp}$, in semigroups and rings. Moreover, we prove that, under finiteness conditions, these conditions are also equivalent with the one-sided reverse order law $(ab ...
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Various solutions to reverse order law problems
Linear and Multilinear Algebra, 2015In this paper, we consider the reverse order law for -inverses of matrices and we do that taking two completely different approaches. The paper is an illustration of how in working with problems related to generalized inverses of matrices, one can sometimes get around a plethora of complicated formulas concerning maximal and/or minimal ranks of various
D.S. Cvetković-Ilić, M. Djikić
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Reverse order laws for the generalized strong Drazin inverses
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Basic reverse order law and its equivalencies
Aequationes mathematicae, 2012The Moore-Penrose inverse of a Hilbert space operator \(A \in B(H,K)\) (if it exists) is the unique operator \(A^\dagger \in B(K,H)\) satisfying the four Penrose equations \(AA^\dagger A=A, A^\dagger AA^\dagger=A^\dagger, (AA^\dagger)^*=AA^\dagger\) and \((A^\dagger A)^*=A^\dagger A\). It is well-known that \(A^\dagger\) exists if and only if the range
Dinčić, Nebojša Č. +1 more
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On the ``Reverse Order Law'' Related to the Generalized Inverse of Matrix Products
Journal of the ACM, 1966The “reverse order law” related to ordinary inverses of matrix products, i.e., ( AB ) -1 = B -1 A -1 , is generally not transferable to the generalized inverse.
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