Stable rings generated by their units.
Chen, Huanyin (2001)
International Journal of Mathematics and Mathematical Sciences
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Chen, Huanyin (2001)
International Journal of Mathematics and Mathematical Sciences
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Chen, Huanyin, Li, Fu-an (2001)
International Journal of Mathematics and Mathematical Sciences
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Chen, H.V., Chin, A.Y.M. (2002)
International Journal of Mathematics and Mathematical Sciences
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Huanyin Chen (2007)
Czechoslovak Mathematical Journal
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We characterize exchange rings having stable range one. An exchange ring has stable range one if and only if for any regular , there exist an and a such that and if and only if for any regular , there exist and such that if and only if for any , .
Chen, Huanyin (1999)
International Journal of Mathematics and Mathematical Sciences
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Chen, Huanyin (2000)
International Journal of Mathematics and Mathematical Sciences
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Chen, Huanyin, Chen, Miaosen (2004)
International Journal of Mathematics and Mathematical Sciences
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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.