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• 12:02, 17 October 2026 Rongzhou talk contribs created page Ring (mathematical concept) (Created page with "A ring is a set closed under two binary operations, with some special properties by definition. == Formal definition == Let $R:|R| \ge 1$ be a set, and $+_R,\cdot_R$ two binary operations defined over $R$. If $\forall a,b,c \in R$: * $a+_Rb=b+_Ra$ ('''additive commutativity''') * $(a+_Rb)+_Rc=a+_R(b+_Rc);(a \cdot_R b)\cdot_R c = a \cdot (b \cdot_R c)$ ('''associativity''') * $\exists 0_R \in R: a+_R0_R=a$ ('''additive identity''') * $\exists...")