等变奇点理论中的─类有限生成模

Some of Finitely Generated Modules in Equivariant Singularity Theory

Ｍａｌｇｒａｎｇｅ预备定理及其等变形式是现代数学中的一个重要定理．本文应用该定理讨论出现在等变奇点理论及等变分歧理论中的有限生成模与向量子空间，将已知的一些结果推广到更一般情形．

Malgrange preparation theorem with its equivariant version is an important theorem in modern mathematics. Applying the theorem above,it is dealt with finitely generated modules and vector subspaces arisen from the study of equivariant singularity theory and equivariant bifurcation theory. Some of known results are generalized in more general cases.