nilpotent

英语

词源

来自nil (“没有任何”) +‎ potent (“有幂”)，字面意义即“有零幂次”。两个字根分别来自拉丁语 nil 和 potens。由美国数学家本杰明·皮尔斯（Benjamin Peirce）于1870年与idempotent一起创造，使用于结合代数等领域。

形容词

nilpotent (无比较级)

1. (代数，环论，半群或环之元素 x 的) 幂零的
   • 2012, Martin W. Liebeck, Gary M. Seitz, Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras, American Mathematical Society, page 129,

     The rest of this book is devoted to determining the conjugacy classes and centralizers of nilpotent elements in L(G) and unipotent elements in G, where G is an exceptional algebraic group of type E₈,E₇, E₆, F₄ or G₂ over an algebraically closed field K of characteristic p. This chapter contains statements of the main results for nilpotent elements.

衍生词汇

• nilpotent algebra
• nilpotent ideal
• nilpotently
• nilpotent orbit
• nilpotent semigroup

相关词汇

• idempotent
• nilpotence
• nilpotency
• idempotent
• nullipotent
• unipotent

翻译

幂零的

• 捷克语：nilpotentní
• 丹麦语：nilpotent
• 芬兰语：nilpotentti
• 俄语：нильпотент (ru) (nilʹpotent)

名词

nilpotent (复数 nilpotents)

1. (代数) 幂零元、幂零元素
   • 2015, Garret Sobczyk, “Part I: Vector Analysis of Spinors”, 出自 arXiv‎^[1]:

     The so-called spinor algebra of C(2), the language of the quantum mechanics, is formulated in terms of the idempotents and nilpotents of the geometric algebra of space, including its beautiful representation on the Riemann sphere, and a new proof of the Heisenberg uncertainty principle.

     （请为本引文添加中文翻译）