| 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 |
| 具有一对零态射的Morita Context环(II) |
| Morita Context Ring with a Pair of Zero Homomorphisms (II) |
| 投稿时间：2006-07-11 修订日期：2007-01-17 |
| DOI：10.3770/j.issn:1000-341X.2007.04.005 |
| 中文关键词: Morita Context环 semiclean环 Morphic环 exchange环 Potent环. |
| 英文关键词:Morita Context ring semiclean ring Morphic ring exchange ring Potent ring. |
| 基金项目:国家自然科学基金 (10471055). |
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| 摘要点击次数: 2811 |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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