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shorthands: {}
created: 2022-02-16 14:41:39
modified: 2022-02-16 14:49:19
When considering the mathematical objects called rings, the following identity for the multiplicative identity is an optional axiom:
There is no approved consensus if we should use this identity or not, but there are several points against/in line with it:
| Yes | No |
|---|---|
| It makes things easier | Even integers satisfy other axioms, but do not have this identity |
| Easy to add an identity to an existing ring, without complicating things too much |