rng
(Q17102802)
algebraic structure similar to ring but not necessarily having a multiplicative identity
algebraic structure similar to ring but not necessarily having a multiplicative identity
Language:
Current Data About
rng
| (P279) |
(Q121075789)
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| (P361) |
(Q26806569)
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| (P527) |
(Q181296)
(Q207348)
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| (P1889) |
(Q161172)
(Q26806569) |
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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)\\r(s+t)&=rs+rt\\(r+s)t&=rt+st\end{aligned}
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| (P2579) |
(Q1208658)
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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}
-r
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other details
| aliases |
pseudo-ring non-unital ring nonunital ring ring |
| description | algebraic structure similar to ring but not necessarily having a multiplicative identity |
External Links
| (P646) |
/m/099rzr
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| (P4215) |
nonunital ring
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| (P6781) |
Definition:Ring_(Abstract_Algebra)
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| (P8417) |
Associative_ring
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