An elementary exact sequence of modules with an application to tiled orders
Volume 113 / 2008
Colloquium Mathematicum 113 (2008), 307-318
MSC: Primary 16E05; Secondary 16S50.
DOI: 10.4064/cm113-2-11
Abstract
Let $m \ge 2$ be an integer. By using $m$ submodules of a given module, we construct a certain exact sequence, which is a well known short exact sequence when $m=2$. As an application, we compute a minimal projective resolution of the Jacobson radical of a tiled order.