Every ring with unity has at least two units. True or false
Question
Every ring with unity has at least two units. True or false
Solution 1
False. A ring with unity has exactly one unit, which is the unity (or identity) element itself. The unity element in a ring is the element that, when multiplied by any other element in the ring, does not change the value of the other element. So, there is only one such element in a ring with unity.
Solution 2
False. A ring with unity has exactly one unit, which is the unity (or identity) element itself. The unity element in a ring is the element that, when multiplied by any other element in the ring, leaves the other element unchanged. So, there cannot be more than one such element.
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