Advanced algebra is the general term for the development of algebra to advanced stage. Specifically, elementary algebra will continue to develop in these two directions when discussing binary and ternary linear equations and studying quadratic equations or equations that can be reduced to quadratic equations.
The stage of discussing linear equations with any number of unknowns (also called linear equations) and univariate equations with high research times is called higher algebra.
Advanced algebra is the general name of algebra's development to the advanced stage, the necessary basic course for the application of mathematics in other disciplines, and the core course for mathematical cultivation. It includes many branches. Higher algebra offered by universities now generally includes two parts: linear algebra and polynomial algebra.