Weisstein, Eric W.
The Wayback Machine - https://web.archive.org/web/20210925062149/https://mathworld.wolfram.com/AbstractAlgebra.html
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Abstract algebra is the set of advanced topics of algebra that deal with abstract algebraic structures rather than the usual number systems.
The most important of these structures are groups, rings,
and fields. Important branches of abstract algebra are
commutative algebra, representation
theory, and homological algebra.
Linear algebra, elementary number theory, and discrete mathematics are
sometimes considered branches of abstract algebra. Ash (1998) includes the following
areas in his definition of abstract algebra: logic and foundations, counting, elementary
number theory, informal set
theory, linear algebra, and the theory of linear operators.
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