Affine cellularity of BLN algebras

We show that the BLN algebra, which was introduced by McGerty, is affine cellular in the sense of Koenig and Xi. In fact, we establish a stronger property, namely that the affine cell ideals are generated by idempotents. This particularly implies that the global dimension of the BLN algebra is finite. For affine type A, we obtain that the affine q  -Schur algebra UD,n,nUD,n,n, when D