1. The Kronecker delta forms the multiplicative identity element of an incidence algebra. 2. Similarly, an identity element in a join semilattice is a least element. 3. The empty product ( ) is defined as the multiplicative identity element . 4. We get the identity element for convolution on functions of period 2?. 5. In other words, a monoid is a semigroup with an identity element . 6. The empty set is an identity element for the operation of union. 7. The sphere "'S "'is an identity element for the connected sum, meaning that. 8. And it has the hidden-identity element that's the core of " Cinderella ." 9. The identity element is represented by ( 0 : 1 : 1 ). 10. The identity element can also be written as " id ".