Pure Mathematics for Beginners – Lesson 3 – Abstract Algebra | Math Online Course by Udemy

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Semigroups, Monoids, and Groups

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Pure Mathematics for Beginners – Lesson 3 – Abstract Algebra

Pure Mathematics for Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra. Lesson 3 from this series introduces a few basic algebraic structures. In this lesson we will learn about binary operations, associativity, commutativity, identity elements, invertible elements. We will also look at examples of semigroups, monoids, and groups. The content in this lesson is mostly self-contained. It does use a bit of notation that was developed in Lesson 2. Specifically, it will be helpful to understand set-builder notation, the membership relation, and the subset relation.

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