CHAPTER 2 RING FUNDAMENTALS 2.1 Basic Definitions and ...
2.1 Basic Definitions and Properties 2.1.1 Definitions and Comments A ringRis an abelian group with a multiplication operation (a,b) → abthat is associative and satisfies the distributive laws: a(b+c)=ab+ac and (a+ b)c= ab+ acfor all a,b,c∈ R. We will always assume that Rhas at least two elements,including a multiplicative identity 1 R ...
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