Certain near-rings are rings. II.
Bell, Howard E. (1986)
International Journal of Mathematics and Mathematical Sciences
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Bell, Howard E. (1986)
International Journal of Mathematics and Mathematical Sciences
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Alessandra Cherubini, Ada Varisco (1988)
Czechoslovak Mathematical Journal
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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.
Heatherly, H.E., Courville, J.R. (1999)
Mathematica Pannonica
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Kaplansky, Irving (1951)
Portugaliae mathematica
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