1) graded regular radical
分次正则根
2) graded regular ring
分次正则环
1.
In this paper, we study the property of graded quasi-regular rings, and consider the condition that a graded quasi-regular ring becomes a graded regular ring.
将分次正则环的概念推广到分次拟正则环上 ,研究了分次拟正则环的若干重要性质 ,并给出了分次拟正则环成为分次正则环的条
2.
In this paper, We discuss some properties of graded regular rings and give a structure theorem of graded regular rings.
讨论了分次正则环的若干性质，并给出了分次正则环的一个结构定理。
3) graded Von Neumann regular ring
分次Von Neumann正则环
1.
We prove that S is a graded right V-ring if and only if R is a graded right V-ring,S is graded PS-ring if and only if R is a graded PS-ring,and S is a Von Neumann regular ring if and only if R is a graded Von Neumann regular ring.
本文引进了分次环的分次Excellent扩张概念,设S=⊕_(g∈G)S_g是R=⊕_(g∈G)R_g的分次Excellent扩张,证明了S是分次右V-环当且仅当R是分次右V-环,S是分次PS-环当且仅当R是分次PS-环,S是分次Von Neumann正则环当且仅当R是分次Von Neumann正则环。
4) Weak regular graded ideal
弱正则分次理想
5) graded strongly π-regularity
分次强π正则性
1.
In this paper are discussed the property relations among R,A and T for graded strongly π-regularity, weakly graded direct finiteness and some graded ring properties in close relationship with graded J-radical.
对分次强π正则性、弱分次直有限性和与分次 J根密切相关的几个分次环性质 ,讨论了 T与 R,A之间的性质关系 。
6) graded quasi-regular ring
分次拟正则环
1.
In this paper, we study the property of graded quasi-regular rings, and consider the condition that a graded quasi-regular ring becomes a graded regular ring.
将分次正则环的概念推广到分次拟正则环上 ,研究了分次拟正则环的若干重要性质 ,并给出了分次拟正则环成为分次正则环的条
补充资料：巨正则配分函数
其定义为：式中λ为乘因子，相当于粒子的绝对活度;n为巨正则系综中体系的粒子数;Qn为n个粒子体系的正则配分函数。巨正则配分函数与体系的热力学函数之间的关系为：
式中p为压力；V为体系的体积；k为玻耳兹曼常数；T为热力学温度；E为体系的能量。
在巨正则系综中,具有粒子数ni,能量Ei的体系出现的几率为：
式中N为总体系数；表示具有粒子数为ni,能量为Ei的体系数；W(ni,Ei)表示粒子数为ni,能量为Ei的体系的微观态数。
式中p为压力；V为体系的体积；k为玻耳兹曼常数；T为热力学温度；E为体系的能量。
在巨正则系综中,具有粒子数ni,能量Ei的体系出现的几率为：
式中N为总体系数；表示具有粒子数为ni,能量为Ei的体系数；W(ni,Ei)表示粒子数为ni,能量为Ei的体系的微观态数。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条