NONSINGULAR MODULES AND R-HOMOGENEOUS MAPS

Authors
ALBRECHT U HAUSEN J
Citation
U. Albrecht et J. Hausen, NONSINGULAR MODULES AND R-HOMOGENEOUS MAPS, Proceedings of the American Mathematical Society, 123(8), 1995, pp. 2381-2389
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
8
Year of publication
1995
Pages
2381 - 2389
Database
ISI
SICI code
0002-9939(1995)123:8<2381:NMARM>2.0.ZU;2-W
Abstract
A non-singular R-module M is a ray for the class of all nonsingular mo dules if every R-homogeneous map from M into a non-singular module is additive. Every essential extension of a non-singular locally cyclic m odule is a ray. We investigate the structure of rays, and determine th ose semi-prime Goldie-rings for which all non-singular modules are ray s and those rings for which the only rays are essential extensions of locally cyclic modules.