基本解释：分式环
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Let RT be a ring of fractions of a commutative ring R with respect to its multiplicatively closed subset T, and Let S ∑be the localization of a monoid S over its submonoid ∑.设含幺交换环及对其乘法子集T的分式环为R_T,交换幺半群S在其子半群∑处局部化为S∑,则A={tu|t(?)T,u(?)∑}是半群环R[S]的乘法子集。
Our main result in this paper is thatnon-commutative non-associative fractional ring with right inverse property is alternative.我们在文[1]中研究了非交换非结合分式环的结合子与换位子理论,本文是[1]的继续。
Viewing modules M S -1 R over a fractional ring S -1 R of a ring R as modules M R over R ,It is proved that some model theoretic properties of modules,such as purity,pure embedding,elementary equivalence,elementary embedding,are preserved.将环Ｒ的分式环Ｓ－１Ｒ上的模ＭＳ－１Ｒ“限制”到Ｒ上时，模理论的纯性、纯入射性、初等等价、初等嵌入等模型论性质都是保持的。
The concept and the universal property of fractional semiring are given.给出了分式半环的概念和泛性质。
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Finitely Presented Dimensions of Commutative Graded Rings and Modules;G-型分次环和G-型分次模的Gr-有限表现维数
The Algebraic Classification of a Class of Degree 1 + Degree 3 Polynomial System1次+3次平面多项式系统的代数分类
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spaced-loop direction finder分隔式环形天线测向仪
portable ambient air analyzer便携式环境空气分析仪
The branch of algebra that deals with quadratic equations.二次方程式论处理二次方程式的代数学的分支
