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...JNA not very restrictive. Very special cases of the inclusion BiendR(U ∗) ⊆ BiendR(U) are known from functional analysis [13] (where susch an inclusion means weak*- continuity of certain maps) and in =-=[15]-=- the author (motivated by a problem concerning derivations) considered the case when R is generated by a single operator. Here we study more general algebras. Although we are not striving for maximal ...