Gröbner-Shirshov basis for the finitely presented algebras defined by permutation relations of symmetric type

Jianjun Qiu, Yuqun Chen

In this paper, we give a Gröbner-Shirshov basis for the finitely presented semigroup algebra $\mathbf{k}[S_n(Sy{m}_n)]$ defined by permutation relations of symmetric type. As an appl…