Abstract
In this paper, we study the notions (strongly) soc-injective, (strongly) simple-injective and (strongly) mininjective modules in σ[M]. For any module N in σ[M], N is strongly mininjective in σ[M] if and only if it is strongly simple-injective in σ[M]. A module M is locally Noetherian if and only if every strongly simple-injective module in σ[M] is strongly soc-injective. We also characterize Noetherian QF-modules.
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Dedicated to Professor Robert Wisbauer on his 65th birthday
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© 2008 Birkhäuser Verlag Basel/Switzerland
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Özcan, A.Ç., Tütüncü, D.K., Yousif, M.F. (2008). On Some Injective Modules In σ[M]. In: Brzeziński, T., Gómez Pardo, J.L., Shestakov, I., Smith, P.F. (eds) Modules and Comodules. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8742-6_21
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DOI: https://doi.org/10.1007/978-3-7643-8742-6_21
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8741-9
Online ISBN: 978-3-7643-8742-6
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