also: ゼロいんし
noun
zero divisor; null factor; nil factor
Mathematical term for a nonzero element that multiplies with another nonzero element to give zero. Used in ring theory.
可換環において、零因子が存在しない場合、その環は整域と呼ばれる。
In a commutative ring, if there are no zero divisors, the ring is called an integral domain.
行列環では、零因子になる行列が多く存在する。
In matrix rings, there are many matrices that become zero divisors.
零元 is the additive identity (zero element), while 零因子 is a nonzero element that can produce zero when multiplied by another nonzero element.
Compound of 零 (zero) and 因子 (factor). A direct translation of the English mathematical term 'zero divisor'.