Quasi Principally Injective Modules
@inproceedings{Patel2010QuasiPI, title={Quasi Principally Injective Modules}, author={M. K. Patel and B. M. Pandeya and A. J. Gupta and V. Venkata Kumar}, year={2010} }
In this paper we have studied the properties of quasi principally injective modules related to Hopfian, co-Hopfian, directly finite and epiretractable modules. Apart from this we have proved that every epi-retractable quasi principally injective module is Hopfian. Mathematics Subject Classification: 16D10, 16D50, 16D60
16 Citations
Some aspects of quasi-pseudo principally injective modules
- Mathematics
- 2019
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.…
On M-Principally Injective and Projective S-acts
- Mathematics
- 2018
In this paper, we have introduced the notions of M-cyclic S-acts, M-principally projective and injective S-acts, semi-projective S-acts and co-cyclic S-acts, whereM is a right S-act. Several…
SOME RESULTS ON GQP-INJECTIVE MODULES
- Mathematics
- 2009
Let R be a ring. In this note we study some properties of GQP-injective R−modules, some results on GP-injective rings and QP-injective modules are extended to these modules. Some new properties of…
On NIL n-Injective Rings
- MathematicsInt. J. Algebra Comput.
- 2011
The definition of right nil n-injective ring is given, it is a generalization of nil injective rings and various results are developed, many extending known results.
Regular endomorphism rings and principally injective modules
- Mathematics
- 2017
A submodule N of M is called fully invariant if f(N) ≤ N for all f ∈ End(M). In this paper, we consider a generalization of fully invariant submodules and its applications. In particular, regularity…
Modules whose Closed M-Cyclics are Summand
- Mathematics
- 2010
We introduce the concept of CMS modules. A right R-module M is called CMS if, every closed M-cyclic submodule of M is a direct summand. An example of CMS module which is not CS is given. We…
On Slightly Compressible-Injective Modules
- MathematicsEuropean Journal of Pure and Applied Mathematics
- 2018
In this paper, we introduce the concept of slightly compressible-injective modules, following this, a right R-module N is called an M-slightly compressible-injective module, if every R-homomorphism…
On Fully-M-Cyclic Modules
- Mathematics
- 2011
The aim of this work was to generalize generator, $M$-generated modules in order to apply them to a wider class of rings and modules. We started by establishing a new concept which is called a…
SPQ-INJECTIVE MODULES AND SQP-INJECTIVE MODULES
- Mathematics
- 2012
Let R be a ring. A right R-module M is called simple principally quasi -injective (briefly SPQ-injective) if, every R-homomorphism from a principal submodule of M to M with simple image extends to an…
On GC2 modules and their endomorphism rings
- Mathematics
- 2008
Let R be a ring. A module MR is said to be GC2 if for any N≤ M with N≅ M, N is a direct summand of M. In this article, we give some characterizations and properties of GC2 modules and their…
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