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Communications in Algebra Volume 32, 2004 - Issue 9
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Original Articles

On Uniform Diagonalisation of Matrices over Regular Rings and One-Accessible Regular Algebras

K. I. Beidar† Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan
,
K. C. O'Meara Department of Mathematics, University of Canterbury, Christchurch, New Zealand
&
R. M. Raphael Department of Mathematics and Statistics, Concordia University, Montreal, Canada; Department of Mathematics and Statistics, Concordia University, Loyola Campus, Montreal, H4B 1R6, CanadaCorrespondence[email protected]
Pages 3543-3562 | Received 01 Mar 2003, Published online: 01 Feb 2007

Citations (9)

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Kevin C. O’Meara. (2017) A new setting for constructing von Neumann regular rings. Communications in Algebra 45:5, pages 2186-2194.
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Articles from other publishers (8)

Peter V. Danchev. (2021) Certain Properties of Square Matrices over Fields with Applications to Rings. Revista Colombiana de Matemáticas 54:2, pages 109-116.
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Peter V. Danchev. (2020) A note on nil-clean rings. Acta Universitatis Sapientiae, Mathematica 12:2, pages 287-293.
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Esther García, Miguel Gómez Lozano, Rubén Muñoz Alcázar & Guillermo Vera de Salas. (2019) A Jordan canonical form for nilpotent elements in an arbitrary ring. Linear Algebra and its Applications 581, pages 324-335.
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Pace Nielsen & Janez Šter. (2017) Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings. Transactions of the American Mathematical Society 370:3, pages 1759-1782.
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Pere Ara & Kevin C. O’Meara. (2018) The Nilpotent Regular Element Problem. Canadian Mathematical Bulletin 59:3, pages 461-471.
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Dinesh Khurana. (2016) Unit-Regularity of Regular Nilpotent Elements. Algebras and Representation Theory 19:3, pages 641-644.
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. (2008) Konstantin Igorevich Beidar (1951–2004). Journal of Mathematical Sciences 149:2, pages 1039-1046.
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K.C. O’Meara & C. Vinsonhaler. (2006) On approximately simultaneously diagonalizable matrices. Linear Algebra and its Applications 412:1, pages 39-74.
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