The generalized quantum group $U(e)$ of type A is an affine analogue of quantum group associated to a general linear super algebra $gl_{M|N}$ with respect to its arbitrary Borel subalgebra.  It is related to solutions of 3 dimensional Yang-Baxter equation.

 We prove the uniqueness of $R$ matrix on a tensor product of fundamental type representations of $U(e)$.

Then we give an explicit description of the spectral decomposition of the $R$ matrix and construct KR type modules of $U(e)$.