| 具有一对零态射的Morita Context环(II) |
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| 引用本文： | 王尧,任艳丽.具有一对零态射的Morita Context环(II)[J].数学研究及应用,2007,27(4):687-692. |
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| 作者姓名： | 王尧 任艳丽 |
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| 作者单位： | 南京晓庄学院数学系, 江苏 南京 211171;南京晓庄学院数学系, 江苏 南京 211171 |
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| 基金项目： | 国家自然科学基金 (10471055). |
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| 摘 要： | 设$(A,B,V,W,\psi,\phi)$是一个Morita Context,具有一对零态射$\psi=0$, $\phi=0$, $C =\left ( \begin{array} {cc}A & V \\W & B \end{array}\right)$是对应的Morita Context环.本文给出了$C$与$A,B,V,W$之间关于环的$\pi$-正则性、semiclean性、Mophic性和环的Exchgange性、Potent性、GM性的关系.
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| 关 键 词： | Morita Context环 semiclean环 Morphic环 exchange环 Potent环. |
| 文章编号： | 1000-341X（2007）04-0687-06 |
| 收稿时间： | 2006/7/11 0:00:00 |
| 修稿时间： | 2006-07-11 |
Morita Context Ring with a Pair of Zero Homomorphisms (II) |
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| WANG Yao and REN Yan-li.Morita Context Ring with a Pair of Zero Homomorphisms (II)[J].Journal of Mathematical Research with Applications,2007,27(4):687-692. |
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| Authors: | WANG Yao and REN Yan-li |
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| Institution: | Department of Mathematics, Nanjing Xiaozhuang University, Jiangsu 211171, China;Department of Mathematics, Nanjing Xiaozhuang University, Jiangsu 211171, China |
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| Abstract: | Let $(A,B,V,W,\psi,\phi)$ be a Morita Context with a pair of zero homomorphisms and $C =\left ( \begin{array} {cc}A & V \\W & B \end{array}\right )$ the corresponding Morita Context ring. This paper deals with the relations between $C$ and $A, B,V,W$ on $\pi$-regular, semiclean, morphic propenties and exchange, potent, GM properties of rings. |
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| Keywords: | Morita Context ring semiclean ring Morphic ring exchange ring Potent ring |
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