蔡传仁,方洪锦.分次环的Smash积A#G*与单位分量Ae理想间的对应[J].数学研究及应用,2000,20(2):271~276 |
分次环的Smash积A#G*与单位分量Ae理想间的对应 |
Correspondence between Ideals of A#G* and Indeals of Ae for Graded Ring A |
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DOI:10.3770/j.issn:1000-341X.2000.02.025 |
中文关键词: 群分次环 Smash积 理想. |
英文关键词: |
基金项目:国家自然科学基金(19971073)资助项目 |
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中文摘要: |
本文对任意群G上的任意分次环A,建立了Smash积A#G*和单位分量Ae理想间的对应关系,并运用所建立的对应关系研究分次环的Smash积A#G*和Ae的半素性,素性和单性. |
英文摘要: |
M. Cohen and S. Montgomery built the corresponding relations between ideals of the smash product A#G* and ideals of the identity component Ae for a ring A graded by a finite group G. It is goal of this paper to give the corresponding relations for any group-graded ring, and to apply it to investigate the semisimplicity primeness and primitiveness of the smash product A#G* and Ae for a graded ring A. |
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