Abstract
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The notion of approximate biprojectivity of Banach algebras was introduced by Pourmahmood- Aghababa [4], O. Yu. Aristov [1] and Y. Zhang [8] in different ways. Here some hereditary properties of this concept is investigated, according to definition of Pourmahmood-Aghababa.
Among other things is shown that approximate biprojectivity of the second dual of A implies approximate biprojectivity of A , where A** is equipped with
the first Arens product [2].
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