identity element in a sentence

Examples

1. The identity element in a unital superalgebra is necessarily even.
2. Since the presence of an identity element is essential, a loop cannot be empty.
3. Indeed, the center consists solely of the identity element and " x " 2.
4. Relabelling the 2 non-identity elements does not give another group, it is an automorphism.
5. Each reducer has an identity element and an associative operation that combines two values.
6. An important example occurs when one of the summands is an identity element P.
7. Then  " is an associative operation with identity element ( 0, 1 ).
8. In fact, ad is the differential of Ad at the identity element of the group.
9. Zero is the identity element for addition and one is the identity element for multiplication.
10. Zero is the identity element for addition and one is the identity element for multiplication.