| 21. | The identity element in a unital superalgebra is necessarily even.
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| 22. | Since the presence of an identity element is essential, a loop cannot be empty.
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| 23. | Indeed, the center consists solely of the identity element and " x " 2.
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| 24. | Relabelling the 2 non-identity elements does not give another group, it is an automorphism.
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| 25. | Each reducer has an identity element and an associative operation that combines two values.
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| 26. | An important example occurs when one of the summands is an identity element P.
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| 27. | Then " is an associative operation with identity element ( 0, 1 ).
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| 28. | In fact, ad is the differential of Ad at the identity element of the group.
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| 29. | Zero is the identity element for addition and one is the identity element for multiplication.
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| 30. | Zero is the identity element for addition and one is the identity element for multiplication.
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