关于相对Bousfield类和相对Bousfield等价关系

ON RELATIVE BOUSFIELD CLASSES AND RELATIVE BOUSFIELD EQUIVALENCE RELATIONSHIPS

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.

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.