| 1. | Let be a set with a binary operation " on it.
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| 2. | Addition is a binary operation, which means it has two operands.
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| 3. | General binary operations that continue these patterns are studied in abstract algebra.
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| 4. | This definition makes \ lor and \ land binary operations.
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| 5. | Rather, this is part of the definition of a binary operation.
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| 6. | The \ star operator denotes a general binary operation.
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| 7. | Becomes a normal ( internal ) binary operation.
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| 8. | There is no self-dual binary operation that depends on both its arguments.
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| 9. | The empty set equipped with the empty binary operation satisfies this definition of a quasigroup.
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| 10. | He was the first to define the concept of a binary operation satisfying certain laws.
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