Unit-regular rings
Ehrlich, Gertrude (1968)
Portugaliae mathematica
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Ehrlich, Gertrude (1968)
Portugaliae mathematica
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O. Marrero (1979)
Revista Matemática Hispanoamericana
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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.
Norman Lang (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Roger Yue Chi Ming (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Huanyin Chen, Fu-An Li (2002)
Collectanea Mathematica
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In this paper we investigate the related comparability over exchange rings. It is shown that an exchange ring R satisfies the related comparability if and only if for any regular x C R, there exists a related unit w C R and a group G in R such that wx C G.
Raphael, R. (1999)
Theory and Applications of Categories [electronic only]
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