Commuting properties of generalized inverses
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Publication:2872532
DOI10.1080/03081087.2012.753593zbMath1305.15013OpenAlexW1998439581MaRDI QIDQ2872532
Publication date: 15 January 2014
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2012.753593
semigrouppseudo-inverseMoore-Penrose generalized inversecommuting propertiesgeneralized inverse matrices\((b,c)\)-inverse
Related Items (36)
CHARACTERIZATIONS OF ANNIHILATOR (b, c)-INVERSES IN ARBITRARY RINGS ⋮ Weak group inverses and partial isometries in proper *-rings ⋮ The Moore-Penrose inverse of \(2\times 2\) matrices over a certain \(\ast\)-regular ring ⋮ Weighted inner inverse for rectangular matrices ⋮ Unnamed Item ⋮ One-sided central Drazin inverses ⋮ The \((b,c)\)-inverse in rings and in the Banach context ⋮ EP-like properties of \((b, c)\)-inverses ⋮ New characterizations for the weighted \((b, c)\)-inverse in rings and their applications ⋮ Left and right-Drazin inverses in rings and operator algebras ⋮ On forward-order law for core inverse in rings ⋮ Characterizations and representations of the inverse along an element ⋮ Unnamed Item ⋮ Jacobson’s lemma and Cline’s formula for generalized inverses in a ring with involution ⋮ Generalized inverses: uniqueness proofs and three new classes ⋮ Central Drazin inverses ⋮ Characterizations for pseudo core inverses in a ring with involution ⋮ Further results on the (b, c)-inverse, the outer inverse AT,S(2) and the Moore–Penrose inverse in the Banach context ⋮ The Moore--Penrose inverse of differences and products of projectors in a ring with involution ⋮ Characterizations of clean elements by means of outer inverses in rings and applications ⋮ Subclasses of (b, c)-inverses ⋮ Pseudo core inverses in rings with involution ⋮ Further results on several types of generalized inverses ⋮ Left and right generalized inverses ⋮ Absorption laws and reverse order laws for generalized core inverses ⋮ Characterizations for the n-strong Drazin invertibility in a ring ⋮ The reverse order law of the \((b,c)\)-inverse in semigroups ⋮ Centralizers and their applications to generalized inverses ⋮ Generalized Jacobson's lemma for Drazin inverses and its applications ⋮ The group inverse and core inverse of sums of two elements in a ring ⋮ ComputingAT,S(2) inverses of Hermitian matrices viaLDL*decomposition for a square matrixA ⋮ Jacobson pairs and Bott-Duffin decompositions in rings ⋮ EP properties of (b, c)-invertible matrices ⋮ Further results on hybrid (b,c)-inverses in rings ⋮ One-sided (b,c)-inverses in rings ⋮ On the (b,c)-inverse in rings
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