Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject.
For the items in commutative algebra (the theory of commutative rings), see "Glossary of commutative algebra". For ring-theoretic concepts in the language of modules, see also "Glossary of module theory".
For specific types of algebras, see also: "Glossary of field theory" and "Glossary of Lie groups and Lie algebras". Since, currently, there is no glossary on not-necessarily-associative algebra structures in general, this glossary includes some concepts that do not need associativity; e.g., a derivation.
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