| 41. | I believe I erroneously thought that this then would imply that the quasigroup has an identity element.
|
| 42. | Note that a group is in particular a pointed set, with the identity element as distinguished point.
|
| 43. | When speaking of the one ( see empty product ), since one is the identity element for multiplication.
|
| 44. | Up to equivalence of extensions, the Baer sum is commutative and has the trivial extension as identity element.
|
| 45. | Quasigroup homomorphisms necessarily preserve left and right division, as well as identity elements ( if they exist ).
|
| 46. | Consequently, the speech community increased as well and Minderico became to be seen as a unifying identity element.
|
| 47. | For example, it is immediately proven from the axioms that the identity element of a group is unique.
|
| 48. | From the definition of a monoid, one can show that the identity element " e " is unique.
|
| 49. | The process of adjoining an identity element to a rng can be formulated in the language of category theory.
|
| 50. | So for any particular pair ( M, V ) there exists an identity element P for the symplectic sum.
|
