Function ring

ring<T>(
    set: ChalkboardSet<T>,
    add: (a: T, b: T) => T,
    mul: (a: T, b: T) => T,
    addIdentity?: T,
    mulIdentity?: T,
    addInverter?: (a: T) => T,
): ChalkboardStructure<T>
Defines an algebraic structure known as a ring.
Type Parameters
- T
Parameters
- set: ChalkboardSet<T>
  The set of the ring
- add: (a: T, b: T) => T
  The additive operation of the ring
- mul: (a: T, b: T) => T
  The multiplicative operation of the ring
- OptionaladdIdentity: T
  The additive identity element of the ring (optional if the set is Z, Q, R, C, or M)
- OptionalmulIdentity: T
  The multiplicative identity element of the ring (optional if the set is Z, Q, R, C, or M)
- OptionaladdInverter: (a: T) => T
  The function to calculate the additive inverse of an element of the ring (optional if the set is Z, Q, R, C, or M)
Returns ChalkboardStructure<T>
Example
```
const Z6 = Chalkboard.abal.ring(Chalkboard.abal.Z(6), (a, b) => (a + b) % 6, (a, b) => (a * b) % 6, 0, 1, (a) => (6 - a) % 6);
const valid = Chalkboard.abal.isRing(Z6); // Checks the residue ring Z₆
```
- Defined in Chalkboard.abal.ts:2124