A Note On E-Injective Modules

Authors : Abuzer GÜNDÜZ, Osama NAJİ

Pages : 1262-1266

Doi:10.16984/saufenbilder.1094262

View : 12 | Download : 6

Publication Date : 2022-12-31

Article Type : Research Paper

Abstract :Let ???? be a commutative ring with identity, ???? an ????-module and ???? a torsion-free ????-module. A submodule ???? of ???? is said to be essential insert ignore into journalissuearticles values(large); in ???? if the intersection of ???? with each nonzero submodule of ???? is nonzero, that is, ???? ∩ ???????? ≠ 0 for any nonzero element ???? ∈ ???? and we write ???? ≤???? ????. It is clear that the class of ???? − ???????????????????? sequences is larger than the class of ???????????????????? sequences. In this study we present the concept of e-injective modules as a generalization of injective modules. The main goal is to give a characterization of e-injective modules in terms of contravariant functor ????????????insert ignore into journalissuearticles values(−,????);
Keywords : E Injective Modules, E Exact Sequences, Contravariant Functor