Abstract

This note presents some programming exercise examples usable in a first course of abstract algebra. The topics include detecting properties of an algebraic operation in a finite set, implementing the Euclidean algorithm in different Euclidean rings, long division of polynomials over a finite field, finding all low-degree irreducible polynomials over a finite field.

Keywords: Teaching math through coding; algebraic operations; Euclidean rings; Polynomials over a field.

Pages:  53$-$59     

Volume  XXV ,  Issue  1 ,  2022