On lifting of idempotents and semiregular endomorphism rings

Tsiu-Kwen Lee, and Yiqiang Zhou. "On lifting of idempotents and semiregular endomorphism rings." Colloquium Mathematicae 125.1 (2011): 99-113. <http://eudml.org/doc/284320>.

@article{Tsiu2011,
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.},
author = {Tsiu-Kwen Lee, Yiqiang Zhou},
journal = {Colloquium Mathematicae},
keywords = {semiregular endomorphism rings; semiregular rings; strong lifting of idempotents; kernel-extending modules; image-lifting modules; endomorphisms with small images; endomorphisms with large kernels},
language = {eng},
number = {1},
pages = {99-113},
title = {On lifting of idempotents and semiregular endomorphism rings},
url = {http://eudml.org/doc/284320},
volume = {125},
year = {2011},
}

TY - JOUR
AU - Tsiu-Kwen Lee
AU - Yiqiang Zhou
TI - On lifting of idempotents and semiregular endomorphism rings
JO - Colloquium Mathematicae
PY - 2011
VL - 125
IS - 1
SP - 99
EP - 113
AB - 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.
LA - eng
KW - semiregular endomorphism rings; semiregular rings; strong lifting of idempotents; kernel-extending modules; image-lifting modules; endomorphisms with small images; endomorphisms with large kernels
UR - http://eudml.org/doc/284320
ER -