Function ringExtension

ringExtension<T, U>(
    base: ChalkboardStructure<T>,
    extension: ChalkboardStructure<U>,
    degree: number,
    basis: ChalkboardVector[],
    isFinite: boolean,
    isSimple: boolean,
    isAlgebraic: boolean,
): ChalkboardStructureExtension<T, U>
Defines an algebraic structure extension known as a ring extension.
Type Parameters
- T
- U
Parameters
- base: ChalkboardStructure<T>
  The algebraic structure which is a substructure of the extension structure
- extension: ChalkboardStructure<U>
  The algebraic structure which is an extension of the base structure
- degree: number
  The rank of the extension structure as a module over the base structure (optional for extensions of Z, Q, R, or C)
- basis: ChalkboardVector[]
  The basis vectors of the extension structure (optional for extensions of Z, Q, R, or C)
- isFinite: boolean
  Whether the extension structure is finite or not (optional for extensions of Z, Q, R, or C)
- isSimple: boolean
  Whether the extension structure is simple or not (optional for extensions of Z, Q, R, or C)
- isAlgebraic: boolean
  Whether the extension structure is algebraic or not (optional for extensions of Z, Q, R, or C)
Returns ChalkboardStructureExtension<T, U>
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 extension = Chalkboard.abal.ringExtension(Z6, Z6, 1, [Chalkboard.vect.init(1, 0)], true, true, true); // Describes a degree-one extension
```
- Defined in Chalkboard.abal.ts:2180

Function ringExtension

Type Parameters

Parameters

Returns ChalkboardStructureExtension<T, U>

Example

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