We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The integrability of the model is based on a set of coupled Yang-Baxter equations. This construction yields P-leg integrable ladder Hamiltonians. We analyse the corresponding quantum group symmetry and present algebraic Bethe ansatz (ABA) solution.
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The authors A.S. and T.S. acknowledge the LAPTH for hospitality, where this work was carried out. T.S. acknowledge also SCOPE grant of SNF, Volkswagen foundation, INTAS grant 00561 and A.S. INTAS grant 00-390 for partial financial support.