Algebra Algèbre Anneaux (Algèbre) Associative rings and algebras Rings (Algebra) Algebraic geometry Artinian rings and modules, finite-dimensional algebras Álgebra (congressos) Categories and geometry Category theory; homological algebra Chain conditions, finiteness conditions Chain conditions, growth conditions, and other forms of finiteness Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure Commutative algebra Conditions on elements Foundations General commutative ring theory Group theory and generalizations Homological methods Intermediate Linear algebraic groups and related topics Linear and multilinear algebra; matrix theory MATHEMATICS Modular lattices, complemented lattices Modules (Algebra) Modules (Algèbre) Modules, bimodules and ideals Noncommutative algebraic geometry Order, lattices, ordered algebraic structures Presheaves and sheaves