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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
3
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Near-ring localizations
Are there any known results on localization for near-rings (i.e., "rings" with non-abelian addition and only one-sided distributive law)? The books on near-rings I checked don't mention this topic at …
3
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Near-ring localizations
The result I needed was in Günter Pilz's Near-rings, 1977, theorem 1.65, p. 27: a near-ring $N$ has a near-ring of right quotients w.r.t. a subsemigroup $S$ iff (i) $S \neq 0$, (ii) $\forall s \in S$, …