在主左(右)理想是弱右(左)理想的条件下,研究一些特殊环(如 GP-V-环、GP-V′-环、弱正则环和广义正则环等)的强正则性,得到了强正则环的一些等价刻画。
Under the condition that every principal left (or right)ideal is weakly right (or left)ideal, we studied the strongly regularity of some special rings (such as GP-V-rings,GP-V′-rings,weakly regular rings and generalized regular rings),and obtained some characterizations of strongly regular rings.