The elements of are all words of the form for (with the understanding ). These words are multiplied as follows:
It is apparent that is simple, for if is an element of , then and so .
It is useful to picture some further properties of by arranging the elements in a table:
Then the elements below any horizontal line drawn through this table form a right ideal and the elements to the right of any vertical line form a left ideal. Further, the elements on the diagonal are all idempotents and their standard ordering is
|Date of creation||2013-03-22 13:09:57|
|Last modified on||2013-03-22 13:09:57|
|Last modified by||mclase (549)|