Associative rings and algebras Algebra 1 Algebraic geometry 1 Algebraic geometry -- Foundations -- Noncommutative algebraic geometry 1 Category theory; homological algebra -- Categories and geometry -- Presheaves and sheaves 1 Category theory; homological algebra -- Special categories -- Topoi 1 Commutative algebra 1 more ... Commutative algebra -- Chain conditions, finiteness conditions -- Artinian rings and modules, finite-dimensional algebras 1 Commutative algebra -- General commutative ring theory -- Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure 1 Commutative algebra -- Theory of modules and ideals -- Projective and free modules and ideals 1 Geometry, Algebraic 1 Group theory and generalizations -- Linear algebraic groups and related topics -- Quantum groups (quantized function algebras) and their representations 1 Group theory and generalizations -- Linear algebraic groups and related topics -- Structure theory 1 Group theory and generalizations -- Representation theory of groups -- Ordinary representations and characters 1 Linear and multilinear algebra; matrix theory 1 Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations 1 Noncommutative algebras 1 Rings (Algebra) 1 less ...