Minimal silting modules and ring extensions (Q2169091)

The topic of this article is about tilting theory. In this paper, firstly, the authors determined the minimal tilting and minimal cotilting modules over a tame hereditary algebra. In particular, they proved that a large cotilting module is minimal if and only if it has an adic module as a direct summand. Secondly, the authors discussed the behavior of minimality under ring extensions, and proved that minimal cosilting modules over a commutative noetherian ring extend to minimal cosilting modules along any flat ring epimorphism.