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

Support the production of this course by joining Wrath of Math to access all my Abstract Algebra videos plus lecture notes at the premium tier!    / @wrathofmath   🛍 Check out my math fashion brand! https://mathshion.com/ Abstract Algebra course:    • Abstract Algebra   Abstract Algebra exercises:    • Abstract Algebra Exercises   Get the textbook! https://amzn.to/45IvVgH Business Inquiries: [email protected] 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...   ◆ Donate on PayPal: https://www.paypal.me/wrathofmath ◆ Support Wrath of Math on Patreon:   / wrathofmathlessons   Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● Facebook:   / wrathofmath   ● Twitter:   / wrathofmathedu