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Diffstat (limited to 'math/algebra.md')
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diff --git a/math/algebra.md b/math/algebra.md index 3717445..7697347 100644 --- a/math/algebra.md +++ b/math/algebra.md @@ -29,7 +29,7 @@ A [**ring**](ring-theory) $R$ is a set with two binary operations $+$ and $×$ s - $(R, ×)$ is a *monoid* - associativity: $∀a,b,c : (a×b)×c = a×(b×c)$ - multiplicative identity: $∃1, ∀a : 1×a = a×1 = a$ -- The *distributive laws* hold for + and ×: +- The *distributive laws* hold for $+$ and $×$: - $∀a,b,c : (a+b) × c = (a×c)+(b×c)$ - $∀a,b,c : a × (b+c) = (a×b) + (a×c)$ - An Abelian or **commutative ring** satisfies an additional axiom: |