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http://dx.doi.org/10.4134/BKMS.b200208

DING INJECTIVE MODULES OVER FROBENIUS EXTENSIONS  

Wang, Zhanping (Department of Mathematics Northwest Normal University)
Yang, Pengfei (Department of Mathematics Northwest Normal University)
Zhang, Ruijie (Department of Mathematics Northwest Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.1, 2021 , pp. 217-224 More about this Journal
Abstract
In this paper, we study Ding injective modules over Frobenius extensions. Let R ⊂ A be a separable Frobenius extension of rings and M any left A-module, it is proved that M is a Ding injective left A-module if and only if M is a Ding injective left R-module if and only if A ⊗R M (HomR(A, M)) is a Ding injective left A-module.
Keywords
Ding injective module; FP-injective module; Frobenius extension;
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