Rings (Algebra) Noncommutative rings Associative rings and algebras Modules (Algebra) Noncommutative algebras Algebra Associative rings and algebras -- Rings and algebras arising under various constructions -- Group rings Coding theory Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes -- Cyclic codes Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes -- Linear codes, general Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes -- Other types of codes Operas Algebra, Homological Associative rings and algebras -- Proceedings, conferences, collections, etc Associative rings and algebras -- Radicals and radical properties of rings -- Nil and nilpotent radicals, sets, ideals, rings Associative rings and algebras -- Rings and algebras arising under various constructions -- Ordinary and skew polynomial rings and semigroup rings Categories (Mathematics) Category theory; homological algebra Combinatorial analysis Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Algebraic coding theory; cryptography Opéras Pictorial works Prisoners and prisons, German Vocal scores with piano World War, 1939-1945 Alsace-Lorraine question Chain conditions on annihilators and summands: Goldie-type conditions Chain conditions, growth conditions, and other forms of finiteness Conditions on elements