Noun
abstract algebra (uncountable)
(mathematics) The branch of mathematics concerned with algebraic structures, such as groups, rings, and fields.
In these days the angel of topology and the devil of abstract algebra fight for the soul of each individual mathematical domain. Hermann Weyl
A first course in abstract algebra. Source: Internet
Algebraic topology is the study of topologically invariant abstract algebra constructions on topological spaces. Source: Internet
A normal subgroup of a topological group, acting on the group by translation action, is a quotient space in the senses of topology, abstract algebra, and group actions simultaneously. Source: Internet
For instance, abstract algebra arises by relaxing the axioms of a vector space, leading to a number of generalizations. Source: Internet
Algebraic logic Algebraic logic uses the methods of abstract algebra to study the semantics of formal logics. Source: Internet