On Frobenius algebras

All Frobenius algebras Γ with separable factor algebra Γ/radΓ are constructed as factors of tensor algebras. Further, fixing a separable algebra A, a bimodule AVA and a natural number n, the set of all representatives of isomorphism classes of Frobenius algebras Γ with the properties (1) Γ/radΓ A, (2) A(radΓ/rad2Γ)A V, and (3) radnΓ=0 is investigated.