Prinjective modules, propartite modules, representations of bocses and lattices over orders
A bipartite algebra by definition has the form \(R=\left(\begin{smallmatrix} A &_AM_B\\ 0 &B\end{smallmatrix}\right)\) where \(A\) and \(B\) are \(K\)-algebras and \(_AM_B\) is a bimodule. An \(R\)-module is a triple \((X_A,Y_B,\varphi)\). It is called prinjective if \(X_A\) is \(A\)-projective and \(Y_B\) is \(B\)-injective. It is called propartite if \(X_A\) is \(A\)-projective and \(Y_B\) is \(B\)-projective. The author studies representation theoretic properties of categories of propartite modules. Moreover, he relates them to prinjective modules, to representations of bocses and to lattices over orders.
scientific article; zbMATH DE number 1172183