Matches in DBpedia 2016-04 for { ?s ?p "In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the structure.More explicitly, if R and S are rings, then a ring homomorphism is a function f : R → S such that f(a + b) = f(a) + f(b) for all a and b in R f(ab) = f(a) f(b) for all a and b in R f(1R) = 1S.(Additive inverses and the additive identity are part of the structure too, but it is not necessary to require explicitly that they too are respected, because these conditions are consequences of the three conditions above. "@en }
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- Ring_homomorphism comment "In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the structure.More explicitly, if R and S are rings, then a ring homomorphism is a function f : R → S such that f(a + b) = f(a) + f(b) for all a and b in R f(ab) = f(a) f(b) for all a and b in R f(1R) = 1S.(Additive inverses and the additive identity are part of the structure too, but it is not necessary to require explicitly that they too are respected, because these conditions are consequences of the three conditions above. ".
- Q1194212 comment "In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the structure.More explicitly, if R and S are rings, then a ring homomorphism is a function f : R → S such that f(a + b) = f(a) + f(b) for all a and b in R f(ab) = f(a) f(b) for all a and b in R f(1R) = 1S.(Additive inverses and the additive identity are part of the structure too, but it is not necessary to require explicitly that they too are respected, because these conditions are consequences of the three conditions above. ".