Question: Consider the abelian group ZZ under addition. Define a binary operation [a] * [6] := [a - b]. 1. We say an element r e

Consider the abelian group ZZ under addition. Define a binary operation [a] * [6] := [a - b]. 1. We say an element r e R in a ring is a unit if it has a multiplicative inverse. Prove that units of a ring form a group under ring multiplication. This group is called the multiplicative group of R and is denoted by R*

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