On Hereditary and Cohereditary Modules
- 1 August 1973
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 25 (4) , 892-896
- https://doi.org/10.4153/cjm-1973-094-2
Abstract
A recent paper by Goro Azumaya on M-projective and M-injective modules [1] suggests a generalization of the concept of hereditary rings to modules which is also capable of dualization. Section 2 is devoted to preliminaries on M-projective and M-infective modules.In section 3, we introduce the notion of hereditary and cohereditary modules. An R-module is called hereditary if every R-submodule of it is projective. Cohereditary modules are defined dually.Keywords
This publication has 1 reference indexed in Scilit:
- Lectures on Injective Modules and Quotient RingsLecture Notes in Mathematics, 1967