zero divisor

Meaning

Noun

• An element a of a ring R for which there exists some nonzero element x ∈ R such that either ax = 0 or xa = 0.
• 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.

Related

Opposite words

• regular element

Narrower meaning words

• trivial zero divisor
• exact zero divisor, left zero divisor, right zero divisor, two-sided zero divisor