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An element a of a ring R for which there exists some nonzero element x ∈ R such that either ax = 0 or xa = 0.
Definition source: English Wiktionary via Wiktextract
Qualifier: ring theory
Topics: algebra, mathematics, sciences
Examples
- 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.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
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.
Definition source: English Wiktionary via Wiktextract
Qualifier: ring theory
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
2 source translations are retained for this English entry.
-
Finnish:
nollanjakaja
— element whose product with some nonzero element is zero
-
French:
diviseur de zéro
— element whose product with some nonzero element is zero