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Localization of Injective modules over ω-Noetherian rings
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We give some characterizations of injective modules over ω-Noetherian rings. It is also shown that each localization of a GV-torsion-free injective module over a ω-Noetherian ring is injective.
Abstract
We give some characterizations of injective modules over ω-Noetherian rings. It is also shown that each localization of a GV-torsion-free injective module over a ω-Noetherian ring is injective.
참고문헌 (16)
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관련 논문AI추천
Injective modules over w-Noetherian rings, II김환구, Fanggui Wang, Jun Zhang대한수학회 · 대한수학회지2013 · 제50권 제5호A characterization of prime submodules of an injective module over a Noetherian ringReza Nekooei, Zahra Pourshafiey대한수학회 · 대한수학회보2019 · 제56권 제1호w-INJECTIVE MODULES AND w-SEMI-HEREDITARY RINGS김환구, Fanggui Wang대한수학회 · 대한수학회지2014 · 제51권 제3호A characterization of ω-Artinian modules권태인, 김환구, De Chuan Zhou강원경기수학회 · 한국수학논문집2020 · 제28권 제4호On ω-copure flat modules and dimension김환구, El Mehdi Bouba, Mohammed Tamekkante대한수학회 · 대한수학회보2020 · 제57권 제3호The homological properties of regular injective modulesWei Qi, Xiaolei Zhang대한수학회 · 대한수학회논문집2024 · 제39권 제1호
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