Algebra is one of the broad parts of mathematics, together with
number theory, geometry and analysis.
In its most general form, algebra is the study of mathematical symbols and
the rules for manipulating these symbols;[3]
it is a unifying thread of almost all of mathematics.[4]
It includes everything from elementary equation solving to the study of abstractions
such as groups, rings, and fields.
The more basic parts of algebra are called elementary algebra;
the more abstract parts are called abstract algebra or modern algebra.
Abstract algebra is a major area in advanced mathematics,
studied primarily by professional mathematicians.
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