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.
冪零行列とは、ある自然数乗で零行列になる行列のことです。
A nilpotent matrix is a matrix that becomes the zero matrix when raised to some natural number power.
この環の元は冪零である。
This element of the ring is nilpotent.
零因子 (zero divisor) is a related algebraic concept: an element that can multiply with a nonzero element to give zero, while 冪零 means the element itself becomes zero when raised to a power.
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).