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Glossary of ring theory
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{{Short description|none}} [[Ring theory]] is the branch of [[mathematics]] in which [[ring (mathematics)|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. {{Compact ToC|short1|x=[[#XYZ|XYZ]]|y=|z=|seealso=yes|refs=yes}}
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