| On JB-Rings |
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| 作者姓名： | Huanyin CHEN |
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| 作者单位： | Huanyin CHEN Department of Mathematics，Hunan Normal University，Changsha 410006，China. |
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| 摘 要： | A ring R is a QB-ring provided that aR bR=R with a,b∈R implies that there exists a y∈R such that a by∈R_q~(-1).It is said that a ring R is a JB-ring provided that R/J(R)is a QB-ring,where J(R)is the Jacobson radical of R.In this paper,various necessary and sufficient conditions,under which a ring is a JB-ring,are established.It is proved that JB-rings can be characterized by pseudo-similarity.Furthermore,the author proves that R is a JB-ring iff so is R/J(R)~2.
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On JB-Rings |
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| Huanyin CHEN.On JB-Rings[J].Chinese Annals of Mathematics,Series B,2007,28(6):617-628. |
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| Authors: | Huanyin CHEN |
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| Abstract: | A ring R is a QB-ring provided that aR + bR = R with a, b ∈ R implies that there exists a y ∈ R such that a+by ∈ R-1q. It is said that a ring R is a JB-ring provided that R/J(R) is a QB-ring, where J(R) is the Jacobson radical of R. In this paper, various necessary and sufficient conditions, under which a ring is a JB-ring, are established. It is proved that JB-rings can be characterized by pseudo-similarity. Furthermore, the author proves that R is a J B-ring iff so is R/J(R)2. |
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| Keywords: | JB-Rings Exchange rings Subdirect product |
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