Support $τ$-tilting modules over Morita context algebras: A bilateral approximation approach

Let $k$ be a field and let $Λ=\left(\begin{smallmatrix}A&N\\M&B\end{smallmatrix}\right)_{ϕ,ψ}$ be a finite-dimensional Morita context algebra. We introduce a bilateral approximation construction which glues support $τ$-tilting modules over $A$ and $B$ by alternately correcting the two corner compone