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单词 Binary Operator
释义

Binary Operator

An Operator defined on a set which takes two elements from as inputs and returns a single element of .Binary operators are called compositions by Rosenfeld (1968). Sets possessing a binary multiplication operation include theGroup, Groupoid, Monoid, Quasigroup, and Semigroup. Sets possessing both a binarymultiplication and a binary addition operation include the Division Algebra, Field, Ring, Ringoid,Semiring, and Unit Ring.

See also And, Boolean Algebra, Closure, Division Algebra, Field, Group,Groupoid, Monoid, Operator, Or, Monoid, Not, Quasigroup, Ring,Ringoid, Semigroup, Semiring, XOR, Unit Ring


References

Rosenfeld, A. An Introduction to Algebraic Structures. New York: Holden-Day, 1968.


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