FINITISTIC n-SELF-COTILTING MODULES OVER RING EXTENSIONS
For a ring A, a ring extension B, and a fixed right A-module M, we give conditions under which a finitistic n-self-cotilting module Mextends to a finitistic n-self-cotilting module over the ring extension B. We prove that in case there is a ring homomorphism (hence Aand Bare ring extensions of each other), Kis M-reflexive and (that is in Mod-Aand in Mod-B), then Mis finitistic n-self-cotilting module if and only if the induced module is finitistic n-self-cotilting module.
finitistic n-self-cotilting modules, ring extensions.