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bn:03263674n
Noun Concept
Categories: Ring theory
EN
prime ring
EN
In abstract algebra, a nonzero ring R is a prime ring if for any two elements a and b of R, arb = 0 for all r in R implies that either a = 0 or b = 0. Wikipedia
Definitions
Relations
Sources
EN
In abstract algebra, a nonzero ring R is a prime ring if for any two elements a and b of R, arb = 0 for all r in R implies that either a = 0 or b = 0. Wikipedia
Abstract algebra concept Wikidata
Any nonzero ring R such that for any two (two-sided) ideals P and Q in R, the product PQ = 0 (the zero ideal) if and only if P = 0 or Q = 0. Wiktionary
IS A
algebraic structure
semiprime ring
HAS KIND
simple ring
domain
DIFFERENT FROM
simple ring
Wikipedia
EN
prime ring
Wikidata
EN
prime ring
Wiktionary
EN
prime ring

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