Finitely Presented Monoids and Algebras Defined by Permutation Relations of Abelian Type, II Vrije Universiteit Brussel
The class of finitely presented algebras $A$ over a field $K$ with a
set of generators $x_{1},\ldots ,x_{n}$ and defined by homogeneous
relations of the form
$x_{i_1}x_{i_2}\cdots x_{i_l} =x_{\sigma (i_1)} x_{\sigma (i_2)} \cdots
x_{\sigma (i_l)}$,
where $l\geq 2$ is a given integer and $\sigma$ runs through a subgroup $H$ of $\Sym_{n}$, is
considered. It is shown that the underlying monoid ...
set of generators $x_{1},\ldots ,x_{n}$ and defined by homogeneous
relations of the form
$x_{i_1}x_{i_2}\cdots x_{i_l} =x_{\sigma (i_1)} x_{\sigma (i_2)} \cdots
x_{\sigma (i_l)}$,
where $l\geq 2$ is a given integer and $\sigma$ runs through a subgroup $H$ of $\Sym_{n}$, is
considered. It is shown that the underlying monoid ...