Stratifying algebras with near-matrix algebras. (Q1428097)

For a left module \(U\) and a right module \(V\) over an algebra \(D\) with a \(D\)-\(D\) bilinear form \(\beta\colon U\times V\to D\), an associative algebra structure can be defined on the tensor product \(V\otimes_DU\) which is called a near matrix algebra. In the present paper, the authors investigate algebras filtered by near matrix algebras and establish a unified treatment of quasi-hereditary algebras, cellular algebras and stratified algebras.