Algebra Algebraic geometry Algèbre Anneaux (Algèbre) Artinian rings and modules, finite-dimensional algebras Associative rings and algebras Categories and geometry Category theory; homological algebra Chain conditions, finiteness conditions Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure Commutative algebra Étude et enseignement Foundations General commutative ring theory Group theory Group theory and generalizations K-theory K-théorie Linear algebraic groups and related topics Mathematics Mathématiques Noncommutative algebraic geometry Presheaves and sheaves Projective and free modules and ideals Rings (Algebra) Special categories Structure theory Study and teaching Theory of modules and ideals Théorie des groupes