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"quote": " Suppose certain algebraic structures (product or addition, say) are endowed\nwith the sets X and Y . If f : X → Y preserves these algebraic structures, then f\nis called a homomorphism. For example, let X be endowed with a product. If f\nis a homomorphism, it preserves the product, f (ab) = f (a) f (b). Note that ab is\ndefined by the product rule in X , and f (a) f (b) by that in Y . If a homomorphism\n f is bijective, f is called an isomorphism and X is said to be isomorphic to Y ,\ndenoted x ∼ = y.",
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