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(φ,ψ)―BIFLAT AND (φ,ψ)―AMENABLE BANACH ALGEBRAS
( Javad Baradaran ),( Zahra Ghorbani ) 호남수학회 2019 호남수학학술지 Vol.41 No.4
The article studies the concept of a (φ,ψ)―biflat and(φ,ψ)―amenable Banach algebra A, where φ is a continuous ho-momorphism on A and ψ ∈ ФA. We show if A has a (φ,ψ)―virtual diagonal, then A is (φ,ψ)― biflat. In the case where φ(A) is com-mutative we prove that (φ,ψ)― biatness of A implies that A has a (φ,ψ)―virtual diagonal.