engelska-norska översättning av zero divisor
Definition av 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
Exempel
- An idempotent element e\ne 1 of a ring is always a (two-sided) zero divisor, since e(1-e)=0=(1-e)e
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