zero divisor
zero divisor · zero divisors
An element a of a ring R for which there exists some nonzero element x ∈ R such that…An element a of a ring R for which there exists some nonzero element x ∈ R such that either ax = 0 or xa = 0.
Значение
значений: 2An element a of a ring R for which there exists some nonzero element x ∈ R such that either ax = 0 or xa = 0.
An idempotent element e#92;ne 1 of a ring is always a (two-sided) zero divisor, since e(1-e)#61;0#61;(1-e)e.
A nonzero element a of a ring R for which there exists some nonzero element x ∈ R such that either ax = 0 or xa = 0.
Переводы
языков: 1Формы
мн. число: zero divisorsАнтонимы
антонимов: 1any element whose product with some nonzero element is zero:regular element