unital ring (Q3269789)
another name of rings to emphasize the existence of identities
Language:
Current Data About unital ring
(P31) (Q17362920)
(P279) (Q17102802)
(P527) (Q68019776)
(Q181296)
(Q208237)
(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}
(P6104) (Q8487137)
(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
other details
aliases ring with unity
ring with identity
ring with 1
unitary ring
description another name of rings to emphasize the existence of identities