rng

algebraic structure similar to ring but not necessarily having a multiplicative identity

Wikidata entity: Q17102802

P2534	defining formula	Math	$\begin{aligned} (r + s) + t & = r + (s + t) \\ r + s & = s + r \\ r + 0 & = r \\ r + (- r) & = 0 \\ (r s) t & = r (s t) \\ r (s + t) & = r s + r t \\ (r + s) t & = r t + s t \end{aligned}$	???
P1889	different from	...	Q161172 (ring)	ring
P1889	different from	...	Q26806569 (pseudo-ring)	pseudo-ring
P527	has part(s)	...	Q181296 (abelian group)	abelian group
P527	has part(s)	...	Q207348 (semigroup)	semigroup
P7235	in defining formula	Math	$0$	???
P7235	in defining formula	Math	$\begin{aligned} (r + s) + t & = r + (s + t) \\ (r s) t & = r (s t) \end{aligned}$	???
P7235	in defining formula	Math	$\begin{aligned} r (s + t) & = r s + r t \\ (r + s) t & = r t + s t \end{aligned}$	???
P7235	in defining formula	Math	$- r$	???
P7235	in defining formula	Math	$r + s = s + r$	???
P361	part of	...	Q26806569 (pseudo-ring)	pseudo-ring
P2579	studied by	...	Q1208658 (ring theory)	ring theory
P279	subclass of	...	Q121075789 (hemiring)	hemiring

External Ids

P646	Freebase ID	/m/099rzr
P8417	Group Properties article ID	Associative_ring
P4215	nLab ID	nonunital ring
P6781	ProofWiki ID	Definition:Ring_(Abstract_Algebra)

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