On lifting of idempotents and semiregular endomorphism rings
Volume 125 / 2011
Colloquium Mathematicum 125 (2011), 99-113
MSC: Primary 16S50, 16E50.
DOI: 10.4064/cm125-1-7
Abstract
Starting with some observations on (strong) lifting of idempotents, we characterize a module whose endomorphism ring is semiregular with respect to the ideal of endomorphisms with small image. This is the dual of Yamagata's work [Colloq. Math. 113 (2008)] on a module whose endomorphism ring is semiregular with respect to the ideal of endomorphisms with large kernel.
