What does the word paddock mean in math?

A paddock is a set that satisfies the 4 addition axioms, 4 multiplication axioms and the distributive law of multiplication and addition but instead of 0 not being equal to 1, 0 equals 1. Where 0 is the additive identity and 1 is the multiplicative identity.

The only example that comes to mind is the set of just 0 (or 1, which in this case equals 0).