Open Access
November 2007 C-injectivity and C-projectivity
Roger Yue Chi Ming
Hiroshima Math. J. 37(3): 385-395 (November 2007). DOI: 10.32917/hmj/1200529809

Abstract

The definition of p-injectivity motivates us to generalize the notion of injectivity and projectivity, noted respectively C-injectivity and C-projectivity. Noetherian, semi-simple Artinian, quasi-Frobenius, regular hereditary and self-injective regular rings are considered in terms of C-injectivity and C-projectivity. Partial answers are given to Matlis’ Problem and Boyle’s Conjecture.

Citation

Download Citation

Roger Yue Chi Ming. "C-injectivity and C-projectivity." Hiroshima Math. J. 37 (3) 385 - 395, November 2007. https://doi.org/10.32917/hmj/1200529809

Information

Published: November 2007
First available in Project Euclid: 17 January 2008

zbMATH: 1178.16002
MathSciNet: MR2376725
Digital Object Identifier: 10.32917/hmj/1200529809

Subjects:
Primary: 16D40 , 16D50 , 16E50 , 16P20 , 16P40

Keywords: C-injectivity , C-projectivity , hereditary , P-injectivity , semi-simple Artinian , von Neumann regular

Rights: Copyright © 2007 Hiroshima University, Mathematics Program

Vol.37 • No. 3 • November 2007
Back to Top