In chapter 6 we saw how mappings can relate sets to each other, and we defined various properties of mappings such as ‘one-one’, ‘total’, ‘partial’ and so forth. Then in chapter 8 we were introduced to algebras, which are sets, or collections of sets, together with operations. This chapter introduces the idea of a homomorphism, which is a mapping extended to algebras: in other words a homomorphism is a mapping which relates the sets underlying two algebras and which
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