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GENERALIZED COHOMOLOGY GROUP OF TRIANGULAR BANACH ALGEBRAS OF ORDER THREE
( Abolfazl Niazi Motlagh ),( Abasalt Bodaghi ),( Somaye Grailoo Tanha ) 호남수학회 2020 호남수학학술지 Vol.42 No.1
The main result of this article is to factorize the first (σ, τ)-cohomology group of triangular Banach algebra T of order three with coefficients in T-bimodule χ to the first (σ, τ)-cohomology groups of Banach algbras A, B and C, where σ, τ are continuous homomorphisms on T. As a direct consequence, we find necessary and sufficient conditions for T to be (σ, τ)-weakly amenable.