The ring sum of two circs is a circ. 两个广义圈的环和是一个广义圈。
It was found that for A and Y type zeolites exchanged with hydrated monovalent cation, their frequencies of double ring and bending vibrations vary linearly with the reciprocal of the sum of the radius of cation and framework oxygen ion. 观测到水合的单价阳离子交换的A,Y型沸石,其双环振动和变角振动的频率与阳离子晶体半径及骨架氧离子半径之和的倒数成线性关系;
In this paper, the irreducible nested subring is introduced to express the fuzzy quotient ring of the fuzzy subrings, direct summation of fuzzy subring and sum fuzzy subrings. 本文利用既约子环套给出了Fuzzy子环的Fuzzy商环,Fuzzy子环的直和及和Fuzzy子环等概念。
In this paper a method is proposed for minimization of the SP switching network by using the Boolean algebra 'and odd ring sum. 运用布尔代数与奇环和的概念,提出了一种SP网络最小化的方法。
A Necessary and Sufficient Condition of Which Г-ring Can Be Represented as a Direct Sum of Simple Artin Г-rings Г-环表成单ArtinГ-环直和的一个充要条件
This paper is on the basis of the research for the first question. With the structure of finite commutative ring, we know that a finite commutative ring can be expressed by direct sum of some finite commutative local rings. 本文主要基于对问题一的研究,并由有限交换环的构造可以知道,有限交换环可以由一些有限交换局部环的直和表示,于是就将问题简化到对有限交换局部环上多项式的判定。
If M is a finitely generated module over a regular local ring R. It is well known that the sum of projective dimension and the codimension of M is equal to the global dimension of R. 如果M是正则局部环R上一个有限生成的模,则M的投射维数与余维数的和等于R的整体维数。
An associative ring with unity is called clean if every element is the sum of an idempotent and a unit. 有单位元的结合环R称为clean环,如果R中的每个元素都可以写成一个幂等元与一个单位的和的形式。
A Necessary and Sufficient Condition for an Associative Ring to be a Direct Sum of Division Rings 结合环可表为除环之直和的充要条件
Introduce the new concepts of weak domain, weak principal ideal ring and weak Euclidean ring. Investigate some properties keeped by direct sum of rings. 引进了弱整环、弱主理想环、弱欧氏环等概念,研究了环的直和保持的一些性质。