AbstractAlgebra.jl is a pure Julia library providing generic abstract algebra structures and algorithms. It serves as the foundational computational algebra layer for the Oscar/Nemocas ecosystem, used by downstream packages Nemo.jl, Hecke.jl, and Singular.jl. The library implements a comprehensive type hierarchy for rings, fields, modules, matrices, polynomials (univariate, multivariate, Laurent, Puiseux, power series), and groups, along with generic algorithms for arithmetic, GCD, factorization, linear algebra (LU, HNF, SNF, Popov forms), GrΓΆbner bases, and more. It is designed for extensibility: any ring implementing the fundamental interface (parent, elem_type, zero, one, +, *, etc.) can use the generic implementations. The codebase is well-tested with conformance tests that verify algebraic axioms for each type, and includes sophisticated infrastructure for attribute caching, map caching, pretty printing, and random element generation. While primarily a library for symbolic computation and research mathematics, it is not a data science or ETL tool.