V-Rings and Principal Injectivity
Anchalee Kaewcharoen and Jintana Sanwong** Author for corresponding; e-mail address: scmti004@chiangmai.ac.th
Volume: Vol.30 No.1 (APRIL 2003)
Research Article
DOI:
Received: 10 January 2003, Revised: -, Accepted: 14 March 2003, Published: -
Citation: Kaewcharoen A. and Sanwong J., V-Rings and Principal Injectivity, Chiang Mai Journal of Science, 2003; 30(1): 3-6.
Abstract
Let R be a ring and M, N be ring R-modules. M is called principally N-injective (P-N-injective) if every R-homomorphism from a cyclic submodule of N to Mcan be extended to N. A ring R is said to satisfy (*) if every simple right R-module is P-N-injective for anll cyclic some connections among V-rings, P-V-rings and regular rings are given.