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Linear and Multilinear Algebra Volume 55, 2007 - Issue 2
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Original Articles

Range projections and the Moore–Penrose inverse in rings with involution

J. J. Koliha Department of Mathematics and Statistics, The University of Melbourne, VIC 3010, AustraliaCorrespondence[email protected]
&
V. RakoČević Faculty of Science and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
Pages 103-112 | Received 24 Mar 2005, Accepted 28 Oct 2005, Published online: 23 Nov 2006

Citations (12)

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Julio Benítez, Xiaoji Liu & Vladimir Rakočević. (2012) Invertibility in rings of the commutator ab – ba, where aba=a and bab=b . Linear and Multilinear Algebra 60:4, pages 449-463.
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Articles from other publishers (11)

Jianlong Chen & Xiaoxiang ZhangJianlong Chen & Xiaoxiang Zhang. 2024. Algebraic Theory of Generalized Inverses. Algebraic Theory of Generalized Inverses 35 96 .
Chun Yuan Deng & Wan Yu Zhang. (2023) Splitting of Operators and Operator Equations. Acta Mathematica Sinica, English Series 39:6, pages 1085-1100.
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Ruju Zhao, Hua Yao & Junchao Wei. (2021) Moore-Penrose inverses in rings and weighted partial isometries in algebras . Applied Mathematics and Computation 395, pages 125832.
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Dijana Mosić. (2015) Characterizations of the Image-Kernel (p, q)-Inverses. Bulletin of the Malaysian Mathematical Sciences Society 41:1, pages 91-104.
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Chunyuan Deng, Anqi Yu & Yimin Wei. (2015) Characterizations and representations of the (P, Q)-outer generalized inverse. Applied Mathematics and Computation 269, pages 432-442.
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Chunyuan Deng & Anqi Yu. (2015) Some relations of projection and star order in Hilbert space. Linear Algebra and its Applications 474, pages 158-168.
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Dijana Mosić & Dragan S. Djordjević. (2011) Further results on the reverse order law for the Moore–Penrose inverse in rings with involution. Applied Mathematics and Computation 218:4, pages 1478-1483.
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Chun Yuan Deng. (2011) On the Idempotent Solutions of a Kind of Operator Equations. ISRN Applied Mathematics 2011, pages 1-11.
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Chun Yuan Deng. (2010) On properties of generalized quadratic operators. Linear Algebra and its Applications 432:4, pages 847-856.
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Dijana Mosić, Dragan S. Djordjević & J.J. Koliha. (2009) EP elements in rings. Linear Algebra and its Applications 431:5-7, pages 527-535.
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Alegra Daji?J.J. Koliha. (2008) Equations ax=c and xb=d in rings and rings with involution with applications to Hilbert space operators. Linear Algebra and its Applications 429:7, pages 1779-1809.
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