| 分次Z-正则环 |
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| 引用本文： | 王尧 李冬冬. 分次Z-正则环[J]. 吉首大学学报(自然科学版), 1998, 19(1): 56-58 |
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| 作者姓名： | 王尧 李冬冬 |
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| 作者单位： | 鞍山师范学院数学系!鞍山，114005，大连管理干部学院!大连，116021 |
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| 基金项目： | 黑龙江省教委自然科学基金 |
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| 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。
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| 关 键 词： | 分次环 Z—正则 分次主理想 分次根类 |
Graded Z—Regular Rings |
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| Wang Yao, Li Dongdong. Graded Z—Regular Rings[J]. Journal of Jishou University(Natural Science Edition), 1998, 19(1): 56-58 |
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| Authors: | Wang Yao Li Dongdong |
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| Abstract: | 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. |
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| Keywords: | graded ring Z—regularity graded principal ideal graded radical class |
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