finite field

C50513
concept

A finite field is an algebraic structure with a finite number of elements in which addition, subtraction, multiplication, and division (by nonzero elements) are all well-defined and satisfy the usual field axioms.

All labels observed (1)

Label Occurrences
finite field canonical 2

Description generation (CDg)

The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.

Instruction
generate a one-sentence description for a given conceptual class.
# Response Format
Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: finite field
Generated description
A finite field is an algebraic structure with a finite number of elements in which addition, subtraction, multiplication, and division (by nonzero elements) are all well-defined and satisfy the usual field axioms.

Instances (2)

Instance Via concept surface
GF(p)
GF(p^m)