Those are strongly nil radical N S , quasi strongly nil radical N QS ,nil radical N ,quasi nil radical N Q and B nil radical N B (Baer module nil radical).
本文旨在系统阐述ＷｅａｋｅｒΓＮ－环的五个诣零根。
This paper show: if M is a ring with the prime radiCal P(M), the socle Soc(M),the nil radical N(M) and the Levitzki nil radical L(M),then regarded as a Pring with P=M,Pp(M)=P(M),Socp(M)=Soc(M),Np(M)=N(M) and LP(M)=L(M).
证明了如果Ｍ是一个环，具有素根Ｐ（Ｍ），底座Ｓｏｃ（Ｍ），诣零根Ｎ（Ｍ）和Ｌｅｖｉｔｚｋｉ诣零根Ｌ（Ｍ），则Ｍ作为一个Γ－环（取Γ＝Ｍ）有：Ｐ（Ｍ）＝ＰΓ（Ｍ），Ｓｏｃ（Ｍ）＝ＳｏｃΓ（Ｍ），Ｎ（Ｍ）＝Ｎｒ（Ｍ）和Ｌ（Ｍ）＝ＬΓ（Ｍ
In this paper, the definition of nil radical of zero normal NCD-ring R is given, and the proof is made for that nil radical n(R) is the greatest ideal of R and R / n(R)has no non-zero nil ideals when n(R) is the smallest ideal of R.
本文给出零正规ＮＣＤ－环Ｒ的诣零根ｎ（Ｒ）的定义，完成了“零正规ＮＣＤ－环Ｒ的诣零根ｎ（Ｒ）是Ｒ的最大理想及ｎ（Ｒ）是使商环Ｒ／ｎ（Ｒ）无非零诣零理想的最小理想”的证明。
Because M/N is not necessarily strongly nil semi-simple, we then defined B-nil radical N_B, such that M/N_B is strongly nil semi-sinple, Finally, the sture theorem of strongly nil semi-simple weaker Γ_N-ring is proved.
本文定义了Weaker Γ_N-环,论证了在这个环M中必有强诣零根N,但M/N未必强诣零半单,故定义了B-诣零根N_B,M/N_B是强诣零半单的,最后给出了强诣零半单Weaker Γ_N-环的结构定理。
For any semigroup-graded ring R= R_ x, the constructions of graded strongly prime radical and graded generalized nil radical of R are given.
对于半群分次环的分次强素根和分次广义诣零根,分别给出它们的构造。
Congruences on Nil-extension of a Clifford Semigroup
Clifford半群的诣零扩张上的同余
Their proficiency in Chinese is inadequate for true appreciation of Chinese culture.
他们华文的造诣根本不足以让他们真正体会华族文化。
Dr. Kenneth Morgan in an erudite article details the steady decline in royal interference on the political scene.
肯尼思-摩根在一篇极有造诣的文章里详细阐述了王室对政事干预的不断衰减。
proper nilpotent element
真幂零元素，根元素
An attainment, such as a skill or social accomplishment.
成就，造诣成就、造诣，如技艺或社会成就
The length of this hair is (naught) point naught six two meter.
你这根头发的长度是0.062米（零点零六二米）。
Relationship of P-radical and Nil-radical of Finite-dimensional Restricted Lie Algebra
有限维限制李代数P-根基和幂零根基的关系
Arriving at Wuling County, the fisherman called on the magistrate to report what he had seen there.
乃郡下，诣太守说如此。
His best field was figure painting.
他人物画造诣最高。
The Positive Realness of a Rational Matrix with Purely Imaginary Zeros;
判断含纯虚零根实系统的正实性问题
Homomorphisms and Ideals of Positive Incident Nil-Radical in BCI-ALgebras;
BCI-代数正关联零根的同态及理想
The Insidious Threats of Zero Thresholds: Civic News and Gate-keeper
零门槛的隐忧:草根新闻与把关人理论
The findings will be used as the basis for allocating some of the research portion of the institutional recurrent grant for the 2001-04 triennium.
教资会会根据评审结果分配二零零一至二零零四的三年度内院校经常补助金的部分研究经费。
According to zero-watermarking, a zero-embedding algorithm for multiple watermarks was proposed based on wavelet and chaos.
根据零水印概念，提出一种基于小波和混沌的多重水印零嵌入算法。
Complete detail drawings of the screw thread insert (Part 2#) by the assembly drawing of the jack.
根据千斤顶装配图拆画件2螺套的零件图。
The amount should be what the family can afford.
零花钱的多少应根据家庭收入情况而定。
Compatibility will require that the girder deflection at B be zero.
根据协调性的要求，梁在B点的挠度应为零。
