Vanishing of the first $(\sigma,\tau)$-cohomology group of triangular   Banach algebras
  In this paper, we define the first topological $(\sigma,\tau)$-cohomology group and examine vanishing of the first $(\sigma,\tau)$-cohomology groups of certain triangular Banach algebras. We apply our results to study the $(\sigma,\tau)$-weak amenability and $(\sigma,\tau)$-amenability of triangular Banach algebras. 
M. Khosravi, M. S. Moslehian and A. N. Motlagh