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。
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。
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。
This paper mainly discuss some property of ring which fit into anti-commutative law, and arrive at a conclusion that anti-commutative law is commutable.
本文主要讨论了适合反交换律的环的一些性质，并得出反交换环一定是交换环。
This paper mainly discuss some property of ring which fit into anti-commutative law, and arrive at a conclusion that anti-commutative law is commutable.
本文主要讨论了适合反交换律的环的一些性质，并得出反交换环一定是交换环。
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