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| 摘要: |
| 本文研究了有限群的群代数上的有限生成模的相对Bousfield类，定义了相对Bousfield等价关系和相对Bousfield等价类，建立了群与子群的相对Bousfield等价类之间的对应关系. |
| 关键词: 群代数 相对Bousfield类 相对Bousfield等价 相对投射 |
| DOI： |
| 分类号:O152.6 |
| 基金项目:中国人民大学科学研究基金（中央高校基本科研业务费专项资金资助）（20XNED05）. |
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| ON RELATIVE BOUSFIELD CLASSES AND RELATIVE BOUSFIELD EQUIVALENCE RELATIONSHIPS |
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HUANG Wen-lin
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| Abstract: |
| In this paper, the author studied the relative Bousfield classes of finitely generated modules on group algebras of finite groups. We defined the relative Bousfield equivalence relations and the relative Bousfield equivalence classes, and established the correspondence between the relative Bousfield equivalence classes of a group and those of its subgroup. |
| Key words: group algebra relative Bousfield class relative Bousfield equivalence relative projectivity |
