环的弱正则性

On the Weak Regularity of Rings

中文关键词:  环  弱正则性  Munn环  半格和．

英文关键词:ring  weak regularity  Munn ring  （supplementary）semilattice sum.

中文摘要:

      本文给出了环的弱正则性的一个充要条件，还讨论了Ｍｕｎｎ环的弱正则性．最后对环的半格和及补半格和，给出了弱正则性的刻画．

英文摘要:

      We give a necessary and sufficient condition for the weak regularity of ring,and thenintnestignte the weak regularity of Munn rings.Moreover,the weak regularity is charac-terized for the(supplementary)semilattice sum of rings.