Journal of the Ramanujan Mathematical Society
Volume 31, Issue 3, September 2016 pp. 257–263.
Some aspects of quasi-pseudo principally injective modules
Authors:
Hemen Dutta, Azizul Hoque and Samer M. Saeed
Author institution:Gauhati University, Faculty of Science, Department of Mathematics, Guwahati 781 014, India
Summary:
In this paper, the notion of quasi-pseudo injectivity relative to
a class of submodules, namely, quasi-pseudo principally injective
has been studied. This notion is closed under direct summands.
Several properties and characterizations have been given.
In~particular, we characterize Noetherian Rings and Dedekind
Domains
by quasi-pseudo principally injectivity.
Contents
Full-Text PDF