ring
(Q161172)
algebraic structure that has compatible structures of an abelian group and a monoid, in particular having multiplicative identity
algebraic structure that has compatible structures of an abelian group and a monoid, in particular having multiplicative identity
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Current Data About
ring
| (P279) |
(Q13512116)
(Q1333055) (Q17102802)
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| (P527) |
(Q2767837)
(Q181296)
(Q208237)
(Q10533491)
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| (P910) |
(Q17329131)
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| (P1889) |
(Q17102802)
(Q13512116) |
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| (P2534) |
\begin{aligned}(r+s)+t&=r+(s+t)\\r+s&=s+r\\r+0&=r\\r+(-r)&=0\\(rs)t&=r(st)\\1r=r1&=r\\r(s+t)&=rs+rt\\(r+s)t&=rt+st\end{aligned}
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| (P2579) |
(Q1208658)
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| (P5008) |
(Q6173448)
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| (P6104) |
(Q8487137)
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| (P6802) |
Dedekind.jpeg
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| (P7235) |
\begin{aligned}(r+s)+t&=r+(s+t)\\(rs)t&=r(st)\\\end{aligned}
r+s=s+r
0
\begin{aligned}r(s+t)&=rs+rt\\(r+s)t&=rt+st\end{aligned}
1
-r
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other details
| aliases |
ring with identity unital ring associative ring associative ring with identity associative unital ring |
| description | algebraic structure that has compatible structures of an abelian group and a monoid, in particular having multiplicative identity |
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