GJA welcomes original contributions that explore fundamental and applied algebra. Its scope covers a wide range of topics, including but not limited to:
- Group theory and representation theory
- Ring theory and module theory
- Field theory and Galois theory
- Commutative algebra and related topics
- Noncommutative algebra and related topics
- Homological algebra and related topics
- Algebraic geometry
- Algebraic coding theory and Cryptography
- Algebraic topology
- Linear algebra and its applications
- Algebraic combinatorics
- Algebraic graph theory
- Algebraic number theory
- Lie algebras
- Category theory with applications to algebra
- Banach algebras and C*-algebras
- Hopf algebras
- Hyperstructures in algebra and Fuzzy algebra
- Computer algebra
- Algebraic methods in AI
Additionally, GJA publishes comprehensive review articles that provide insights into recent developments in the aforementioned areas.