| 11. | :is an associative binary operation.
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| 12. | The binary operations of set identities.
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| 13. | The notion of binary operation is meaningless without the set on which the operation is defined.
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| 14. | Groups just have one binary operation.
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| 15. | This property is shared by most binary operations, but not subtraction or division or octonion multiplication.
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| 16. | The works of composition of continuous functions of a single variable and the binary operation of addition.
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| 17. | The properties below include a defined binary operation, relative complement, denoted by infix " \ ".
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| 18. | They comprise a set and a closed binary operation, but do not necessarily satisfy the other conditions.
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| 19. | To the extent possible the defining properties are formulated in terms of the binary operations in the semigroups.
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| 20. | Biquandles and biracks have two binary operations on a set X written a ^ b and a _ b.
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