nilpotent

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Adjective

nilpotent (not comparable)

1. (algebra, ring theory, of an element x of a semigroup or ring) Such that, for some positive integer n, xⁿ = 0.
   • 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.

Related terms

• nilpotence
• nilpotency
• idempotent
• nullipotent
• unipotent

Translations

• Russian: нильпотент

Noun

nilpotent (plural nilpotents)

1. (algebra) A nilpotent element.

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