From the abstract, axiomatic point of view that prevails today, one can argue that group theory is, in some sense, more primitive than most other parts of algebra and, indeed, the group axioms constitute a subset of the axiom systems that define the other algebraic objects considered in this book. The subject we call 'algebra' was not born abstract. In its youth, algebra was the study of concrete objects such as polynomials, rater than of things defined by axiom systems.
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