On the diagonalisation of von Neumann regular matrices
R. Puystjens, J. van Geel (1985)
Acta Universitatis Carolinae. Mathematica et Physica
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R. Puystjens, J. van Geel (1985)
Acta Universitatis Carolinae. Mathematica et Physica
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Ehrlich, Gertrude (1968)
Portugaliae mathematica
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Andrusziewicz, R., Puczylowski, E.R. (1988)
Portugaliae mathematica
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Huanyin Chen (2008)
Czechoslovak Mathematical Journal
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Let be an exchange ring in which all regular elements are one-sided unit-regular. Then every regular element in is the sum of an idempotent and a one-sided unit. Furthermore, we extend this result to exchange rings satisfying related comparability.
Yasuyuki Hirano (1994)
Publicacions Matemàtiques
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A ring R is said to be if, for any principal left ideal I of R, any left R-homomorphism I into R extends to one of R into itself. In this note left nonsingular left p-injective rings are characterized using their maximal left rings of quotients and the structure of semiprime left p-injective rings of bounded index is investigated.