不变理论研究的主要问题是不变环的生成元集合，生成元之间的定义关系及环结构等等。
The main problems which invariant theory research are the set of generators of invariants, the defining relations of the generators of invariants, the structure of invariant ring, and so on.
在有单位元的交换环上，可应用生成元和定义关系的方法给出仿型李代数的定义。
On commutative ring with the identity, the definition of affine Lie algebras was given by applying the means of generator and defining relation.
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