以下为句子列表：
英文: By using the properties of π-hypercenter and π-homogeneous, some sufficient and necessary conditions for a finite group to be π-nilpotent are obtained. And some well-known theorems are generalized.
中文: 摘要利用π-超中心和π-齐次性的性质，对π-幂零群作了较详尽的研究，得到了有限群为π-幂零群的几个充要条件，推广了一些著名的定理。
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英文: This paper first presents the definition of nilpotent matrix and then moves on to discuss certain properties of them.
中文: 本文先给出幂零矩阵的定义，然后讨论了它的若干性质。
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英文: Since Van Leeuwen and Heyman defined the concept of almost nilpotent ring in 97, there have been a series of papers discussing the lower radical which is determind by the class of almost nilpotent rings and its two subradicals.
中文: 自97年Van Leeuwen和Heyman定义了几乎幂零环以后,有一系列文章讨论由几乎幂零环确定的低根和它的两个子根。
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英文: The Locally Strong Nilpotent Radical and Quasi Locally Strong Nilpotent Radical of Γ-ring
中文: Γ-环的强Levitzki根与拟强Levitzki根
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英文: The Locally Strong Nilpotent Radical and Quasi Locally Strong Nilpotent Radical of Г-ring
中文: Г-环的强Levitzki根与拟强Levitzki根
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