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binary operation
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(Definition)
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A binary operation on a set  is a function from the Cartesian product
 to  . A binary operation is sometimes called internal composition.
Rather than using function notation, it is usual to write binary operations with an operation symbol between elements, or even with no operation at all, it being understood that juxtaposed elements are to be combined using an operation that should be clear from the context.
Thus, addition of real numbers is the operation
and multiplication in a groupoid is the operation
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"binary operation" is owned by mclase.
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(view preamble)
Cross-references: groupoid, multiplication, real numbers, addition, clear, even, operation, Cartesian product, function
There are 74 references to this entry.
This is version 4 of binary operation, born on 2002-11-05, modified 2006-09-12.
Object id is 3574, canonical name is BinaryOperation.
Accessed 18710 times total.
Classification:
| AMS MSC: | 08A99 (General algebraic systems :: Algebraic structures :: Miscellaneous) |
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Pending Errata and Addenda
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