Title: Ring theory and its applications
Subjects: Rings (Algebra), Congresses, Associative rings and algebras, Commutative algebra -- General commutative ring theory -- Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure, Commutative algebra -- Theory of modules and ideals -- Projective and free modules and ideals, Commutative algebra -- Chain conditions, finiteness conditions -- Artinian rings and modules, finite-dimensional algebras, Algebraic geometry -- Foundations -- Noncommutative algebraic geometry, Category theory; homological algebra -- Special categories -- Topoi, Category theory; homological algebra -- Categories and geometry -- Presheaves and sheaves, Group theory and generalizations -- Linear algebraic groups and related topics -- Structure theory