Extensions of simple-injective rings

Authors
Nicholson, WK Park, JK Yousif, MF
Citation
Wk. Nicholson et al., Extensions of simple-injective rings, COMM ALGEB, 28(10), 2000, pp. 4665-4675
Citations number
12
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
28
Issue
10
Year of publication
2000
Pages
4665 - 4675
Database
ISI
SICI code
0092-7872(2000)28:10<4665:EOSR>2.0.ZU;2-2
Abstract
A ring R is called right simple-injective if every R-linear map with simple image from a right ideal to R can be extended to R. We characterize when m atrix rings, upper triangular matrix rings and trivial extensions are right simple-injective. We also study split null extensions of simple-injective rings.