交换环上的Roth定理及Roth定理的扩展

Roth's theorem on a commutative ring and its expanding

利用标准的交换代数方法,把证明Roth的等价与相似定理在含幺交换环R上成立简化到在Artinian环上成立,并证明了多个矩阵的Roth定理在含幺交换环上也成立.

Roth's equivalence and similarity theorem on a commutative ring R with unit is simplified on an Artinian ring, in a way of standard commutative algebra. And we prove Roth's theorem of many matrixes in a commutative ring with unit.