On a construction for the generators of the polynomial algebra as a module over the Steenrod algebra

Nguyen Sum

Let $P_n$ be the graded polynomial algebra ${\mathbb{F}}_2[x_1,x_2,\dots ,x_n]$ with the degree of each generator $x_i$ being 1, where ${\mathbb{F}}_2$ denote the prime field of two ele…