The number of polynomial function over a finite commutative ring.
有限交换环上的多项式函数的个数问题。
As the main results, it gives a Positivstellensatz, a Nullstellensatz and a Nichtnegativstellensatz for matrices over a commutative ring.
作为本文的主要结果，关于交换环上矩阵的正点定理，零点定理和非负点定理被建立。
On commutative ring with the identity, the definition of affine Lie algebras was given by applying the means of generator and defining relation.
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。
In this paper, we introduce the notion of M-valuation systems for a commutative ring, and investigate the M-valuations from the inside of a commutative ring.
在本文中，我们引进了M -赋值系统的概念，从环的内部给出交换环上M -赋值的结构。
In this paper, we introduce the notion of M-valuation systems for a commutative ring, and investigate the M-valuations from the inside of a commutative ring.
在本文中，我们引进了M -赋值系统的概念，从环的内部给出交换环上M -赋值的结构。
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