Examples of Binary Operations (and Non-Examples) | Abstract Algebra

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What are binary operations? A binary operation is a function from the cartesian product of a set with itself back to that same set. In other words, a binary operations takes two elements from the same set and assigns the ordered pair of them to exactly one element also in that set (since it always stays within the same set, a binary operation is "closed", and this closure is one of its most important properties). We'll see several examples of binary operations as well as relations that are not binary operations in today's abstract algebra lesson.

What are Binary Operations:    • What are Binary Operations? | Abstract Alg...  

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