 Algebraic structure

A set $S$ plus any number of functions $f_i:S\times S\to S$, such that each $f_i$ satisfies some properties of choice.

Key examples:

An algebraic structure is a set paired with one or more operations that satisfy certain axioms or rules. In mathematics, algebraic structures provide a framework for studying various mathematical concepts and properties. Here are some common types of algebraic structures: 1. **Groups**: A set \(G\) with a binary operation \(*\) that satisfies the following properties: - Closure: For all \(a, b \in G\), \(a * b \in G\).