具有一对零态射的Morita Context环(II)

Morita Context Ring with a Pair of Zero Homomorphisms (II)

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.

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.