Abstract
Let
n
be a nonnegative integer, we use ribbon
n−
graph diagrams and the Yamada polynomial skein relations to construct an algebra
Y
n
which is shown to be closely related to the Temerley-Lieb Algebra. We prove that the algebra
Y
2
is isomorphic to some quotient of a three variables polynomial algebra. Then, we give a family of generators for the algebra
Y
3
.