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等变分歧理论中的一类模
Some Finitely Generated Models in Equivariant Bifurcation Theory
【摘要】 给出代数上一个模的分解定理,并证明在一定条件下,一个R—模的某种分解可由该模的一个T—子模的分解确定,此T为R的子环。同时结合等变预备定理讨论出现有等变分歧理论中的模,并将一些已知结果[3,4,6]推广到更一般的情形。
【Abstract】 A theorem about the resolution of a model is given. It is explained that a certain resolution of an R -model is decided to some extent by the resolution of a T-sub model, where T is a subring of R. The models in the equivariant bifurcation theory are studied by the equivariant malgrange preparation theorem. Some known results are generalized in more general cases.
【关键词】 等变映射芽;
模同构;
等变预备定理;
【Key words】 equivariant map-germ; isomorphic of model; equivariant preparation theorem;
【Key words】 equivariant map-germ; isomorphic of model; equivariant preparation theorem;
【基金】 国家自然科学基金
- 【文献出处】 北方工业大学学报 ,JOURNAL OF NORTH CHINA UNIVERSITY OF TECHNOLOGY , 编辑部邮箱 ,1999年01期
- 【分类号】O177
- 【被引频次】9
- 【下载频次】22