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. A B C D E F G H I J K L M N O P Q R S T U V Z See also Glossary of module theory Notes References Jacobson, Nathan (2009), Basic Algebra 1 (2nd ed.), Dover Jacobson, Nathan (2009), Basic Algebra 2 (2nd ed.), Dover Nathan Jacobson, Structure of Rings Ring theory Wikipedia glossaries using description lists