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Questions and Answers
According to Lemma 1.6, which of the following statements about the zero element is true?
According to Lemma 1.6, which of the following statements about the zero element is true?
- The zero element can have multiple values.
- The zero element is not unique.
- The zero element is unique. (correct)
- The zero element is always positive.
Based on Lemma 1.6, what can be said about the negative of an element?
Based on Lemma 1.6, what can be said about the negative of an element?
- The negative of an element is always positive.
- The negative of any element is unique.
- Each element can have multiple negatives.
- The negative of an element is not unique. (correct)
From Lemma 1.6, what conclusion can be drawn about the identity element in a ring?
From Lemma 1.6, what conclusion can be drawn about the identity element in a ring?
- The identity element is always negative.
- The identity element is not unique.
- The identity element is unique. (correct)
- There can be multiple identity elements.
According to Lemma 1.6, what happens if a ring has two different zero elements?
According to Lemma 1.6, what happens if a ring has two different zero elements?
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In the context of Lemma 1.6, what does having two different negatives for an element imply?
In the context of Lemma 1.6, what does having two different negatives for an element imply?
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