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near ring

   Also found in: Wikipedia 0.02 sec.
near ring [¦nir ¦riŋ]
(mathematics)
An algebraic system with two binary operations called multiplication and addition; the system is a group (not necessarily commutative) relative to addition, and multiplication is associative, and is left-distributive with respect to addition, that is,x(y+z) =xy+xzfor anyx, y, andzin the near ring.


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