noun which may take the genitive case particle 'no'
nilpotent
Mathematics term. Describes an element or operator for which some power equals zero. Used attributively with の.
A nilpotent matrix is a matrix that becomes the zero matrix when raised to some natural number power.
This element of the ring is nilpotent.
Standard mathematical kanji spelling. 冪 is a specialized character for 'power' (exponentiation).
Variant using 巾 as a simplified substitute for 冪. Seen in some mathematical contexts.
Mixed kana-kanji spelling. べき is the kana for 'power', making the reading explicit.
From 冪 (べき, 'power' or 'exponent') + 零 (れい, 'zero'). The term is a direct calque of the English 'nilpotent' (from Latin 'nil' meaning nothing and 'potens' meaning power).