1) loop group
环群
1.
In this paper, a sufficient and necessary condition such that the Ricci form of continuous loop groups is closed is given.
本文给出了连续环群的Ricci形式是闭的充分必要条件。
2) group rings
群环
1.
By the tools of group rings and character sums,it was shown that there didn t exist any type of Generalized perfect binary arrays of order 2×2×p~n for any n and any odd prime p≠1(mod 8).
利用群环、特征和等代数方法,证明了对于任意的n及奇素数p≠1(mod 8),不存在任何类型的体积为2×2×pn的广义最佳二进阵列,并给出了体积为2×2×2n的广义最佳二进阵列存在的充要条件。
2.
This paper proves a number of expression results of the radical of group rings and the nilpotency of Jacobson radical.
本文主要给出了几个群环中根的表示方法及 Jacobson 根的幂零性。
3.
The algebraic properties and structure of group rings ZnG are discussed,and the detailed characterizations of the prime spectrum and zero-divisors of ZnG are given.
讨论了群环ZnG的代数性质及其结构,对群环ZnG的素谱和零因子给出了较为具体的刻画。
3) group ring
群环
1.
Artinian skew semigroup ring;
Artinian斜半群环
2.
A public-key cryptosystem based on the group rings
基于群环上的公钥密码体制
3.
In this paper,we mainly discuss the properties of the left G-morphic group ring RG.
本文讨论了左G-morphic群环RG的性质,主要证明了以下结果:设R是一个环,G是一个局部有限群,如果群环RG是左G-morphic环,那么R是左G-morphic环;如果对G的每个有限子群H,群环RH是左G-morphic环,那么群环RG是左G-morphic环。
4) group ring of compact group
紧群的群环
5) cycle group
循环群
1.
This paper proposes a new group signature scheme derived from a proxy signature scheme which can solve the above problems,and the order of cycle group adopted by this scheme is a public parameter,and the length of group public key is fixed.
本文提出一种从代理签名演化而来的新的群签名方案,能够解决这一问题,并且本方案所采用的循环群的阶为一公开参数,群公钥长度固定。
2.
The idea making use of producing matrix on the cycle group,this paper has discussed the property about R-grade cycle matrix and the question about R-grade cycle matrix diagonalization,brought to light the relations between one type diagonalization similar matrix and R-grade cycle matrix.
本文利用循环群上生成矩阵的方法,讨论n阶R循环矩阵的性质与对角化的问题,揭示一类可对角化相似矩阵与R循环矩阵的关系。
3.
It is prove that groups of order p2 can be divided into two kinds in the isomorphism sense:(1) cycle group;(2)commutative group which can be written as a product of two cycle proper-subgroup of order p.
证明了在同构意义下p2阶群共有两类:一类是循环群,一类是可分解为两个p阶真循环子群乘积的可换群。
6) P-group of cycles
P-循环群
补充资料：陪群公登箕山赋得群字
【诗文】：
许由去已远，冥莫见幽坟。世薄人不贵，兹山唯白云。
宁知三千岁，复有尧为君。时佐激颓俗，登箕挹清芬。
高节虽旦暮，邈与洪崖群。
【注释】：
【出处】：
全唐诗：卷882-9
许由去已远，冥莫见幽坟。世薄人不贵，兹山唯白云。
宁知三千岁，复有尧为君。时佐激颓俗，登箕挹清芬。
高节虽旦暮，邈与洪崖群。
【注释】：
【出处】：
全唐诗：卷882-9
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