The Existence of Gorenstein Injective Envelopes
Let R be a commutative Noetherian ring. We prove that every R-module N of finite Gorenstein injective dimension has a Gorenstein injective envelope ψ : N → G where injective dimension of Ker ψ is finite and ψ is injective.
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| Format: | Article |
| Language: | English |
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Islamic Azad University
2015-12-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/364/243 |