Let 𝑅 be a commutative ring with identity, 𝑀 an 𝑅-module and 𝐸 a torsion-free 𝑅-module. A
submodule 𝑁 of 𝑀 is said to be essential (large) in 𝑀 if the intersection of 𝑁 with each nonzero
submodule of 𝑀 is nonzero, that is, 𝑁 ∩ 𝑅𝑚 ≠ 0 for any nonzero element 𝑚 ∈ 𝑀 and we write
𝑁 ≤𝑒 𝑀. It is clear that the class of 𝑒 − 𝑒𝑥𝑎𝑐𝑡 sequences is larger than the class of 𝑒𝑥𝑎𝑐𝑡
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 𝐻𝑜𝑚(−,𝐸)
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Yayımlanma Tarihi | 31 Aralık 2022 |
Gönderilme Tarihi | 28 Mart 2022 |
Kabul Tarihi | 22 Ekim 2022 |
Yayımlandığı Sayı | Yıl 2022 |
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