| 21. | The structures below are organized by how many sets are involved, and how many binary operations are used.
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| 22. | A semigroup has an " associative " binary operation, but might not have an identity element.
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| 23. | Binary operations sometimes use prefix or ( probably more often ) postfix notation, both of which dispense with parentheses.
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| 24. | The homomorphic image of a quasigroup defined with a single binary operation, however, need not be a quasigroup.
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| 25. | Algebraically, a lattice is a set with two associative, commutative idempotent binary operations linked by corresponding absorption laws.
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| 26. | These flags can be tested using binary operations or with the Enum type's builtin'HasFlag'method.
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| 27. | If I know what " set " and " binary operation " is, then I have all I need.
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| 28. | It must be remarked that this binary operation on the class of classes of groups is neither associative nor commutative.
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| 29. | By doing this it is possible to perform binary operations on enumerations, thus treating enumeration values as sets of flags.
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| 30. | The most commonly studied structures, however, usually involve only one or two sets and one or two binary operations.
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