摘要
在群分次环中定义分次Z—正则性，它是文[1]中VonNeuman正则性的推广。文中首先证明了分次Z—正则环类构成一个分次根类，[2]且此根对分次理想是遗传的，最后给出分次Z—正则环的一个特征刻划。
In this paper, the conccpt of graded Z-regularity is introduced and graded Von Neuman regularity in[1] is extended for group graded rings- First, the theorems that graded Z-regular rings classes construct a graded radical class and this radical is heredited by graded ideals are proved. Finally, a characterization of graded Z-regular rings is represented.
基金
黑龙江省教委自然科学基金
