p
prime ring
Abstract algebra concept
EntityQ386597
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7 statements · 29% with external sources · numbers in brackets are citations
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5 identifiers linking prime ring across the web's reference databases
Abstract algebra concept
7 statements · 29% with external sources · numbers in brackets are citations
5 identifiers linking prime ring across the web's reference databases
From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0
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. This definition can be regarded as a simultaneous generalization of both integral domains and simple rings.