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Algebra is considered to be one of the main and most important branches in mathematics that touches upon the following areas such as structure, relation and quantity. Algebra covers not only the number sphere but also symbols, variables and set elements.
Algebra can be roughly divided into the following categories:
- Elementary algebra, where the properties of actions on the real number system are written down using symbols as place holders to represent constants and variables;
- Abstract algebra, sometimes also called modern algebra, in which algebraic structures such as groups rings and fields are axiomatically identified and examined;.
- Linear algebra, where the specific properties of vector spaces are analyzed;
- Universal algebra, where properties common to all algebraic structures are investigated;
- Algebraic number theory, where the properties of numbers are studied through algebraic systems;
- Algebraic geometry in its algebraic aspect;
- Algebraic combinatorics, where abstract algebraic methods serve to research combinatorial questions;
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