English-Finnish translations for zero divisor

• nollanjakaja

Definition of zero divisor

• 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

Examples

• An idempotent element e\ne 1 of a ring is always a (two-sided) zero divisor, since e(1-e)=0=(1-e)e

Related words

• left zero divisor
• right zero divisor
• zero-dimensional