Bricks and $\ddot{I}„$-tilting theory under base field extensions

Erlend D. Børve, Eric J. Hanson, Maximilian Kaipel

Let $K:k$ be a field extension and let $\hat{I}›$ be a finite-dimensional $k$-algebra. We investigate the relationship between $\hat{I}›$ and $\hat{I}{›}_K=\hat{I}›{\otimes }_{k}K$ with particular emphasis on…