A Note On E-Injective Modules

ISSN: 1301-4048
Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 1997
Yayıncı: Sakarya Üniversitesi Fen Bilimleri Enstitüsü

Let ? be a commutative ring with identity, ? an ?-module and ? a torsion-free ?-module. A submodule ? of ? is said to be essential (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 ???(−,?)

Keywords:

E-Injective Modules E-Exact Sequences, Contravariant Functor,

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[1] I. Akray, A. Zebari, “Essential exact sequences,” Communications of the Korean Mathematical Society, 2020; 35(2):469-480.
[2] A. Tercan, C. C. Yücel, “Module Theory, Extending Modules and Generalizations,” Bassel: Birkhäuser, Springer, 2016.
[3] J. J. Rotman, J. J. Rotman, “An introduction to homological algebra,” New York: Springer, 2009.