左非奇异左CS-环和左遗传左CS-环

Left Nonsingular Left CS-Rings and Left Hereditary Left CS-Rings

中文关键词:  左CS-环  左非奇异环  左遗传环  左连续环.

英文关键词:left CS-ring  left nonsingular ring  left hereditary ring  left continuous ring.

中文摘要:

      本文首先证明了：环为左非奇异左CS-环当且仅当它为左余非奇异Baer环，然后给出左遗传左CS-环，正则左遗传左CS-环和左遗传左连续环的某些刻划.

英文摘要:

      In this paper we firstly prove: R is a left nonsingular left CS-ring if and only if R is a left co-nonsingular Baer ring. Then we give some characterizations about left hereditary left CS-rings, regular left hereditary left CS-rings and left hereditary left continuous rings.