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| rdfs | http://www.w3.org/2000/01/rdf-schema# |
| rdf | http://www.w3.org/1999/02/22-rdf-syntax-ns# |
| xsdh | http://www.w3.org/2001/XMLSchema# |
| dbpedia | http://dbpedia.org/resource/ |
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- dbpedia:Noncommutative_ring
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In mathematics, more specifically modern algebra and ring theory, a noncommutative ring is a ring whose multiplication is not commutative; that is, there exists a and b in R with a·b ≠ b·a. Note that many authors use the term noncommutative ring to refer to rings which are not necessarily commutative, and hence include commutative rings in their definition.