Integrable Chain Model with Additional Staggered Model Parameter

The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2grading along both chain and time directions is presented. An integrable model,based on the XXZ Heisenberg chain with staggered inhomogeneity of someadditional model parameter, is constructed. In the simple case of XX model thelocal Hamiltonian is calculated in the fermionic formulation. Integrableboundary terms are found. It is obvious from the construction that, in the caseof the generalization of the XXZ model, the resulting bulk Hamiltonian has aladder form. This construction can be applied to other known integrable models