Frobenius Algebras Derived from the Kauffman Bracket Skein Algebra

In this paper we study the skein modules of the surfaces, ${\mathrm{\Sigma }}_{i,j}$ $(i,j)\in \{(0,2),(0,3),(1,0),(1,1)\}$ at $2N$-th roots of unity where $N\geq 3$ is an odd counting number and construct Frobenius algebras from them.