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What is Binary Operations and Group Theory about?

This module discusses binary operations and groups. It defines a binary operation as a function from a set to itself. A binary operation is closed if the result is always in the original set. A binary operation is associative if (a*b)*c = a*(b*c) and commutative if a*b = b*a. A group is a set with a binary operation that is associative, has an identity element, and every element has an inverse. Examples of groups include integers under addition, real numbers without zero under multiplication, and 2x2 matr

Author

Karren Lie Geverola

Language

EN