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Title: | Rad-supplements in injective modules | Authors: | Büyükaşık, Engin Tribak, Rachid |
Keywords: | Almost injective modules Injective modules Rad-s-injective modules Rad-supplement submodules |
Publisher: | Institute of Applied Mathematics And Mechanics of the National Academy of Sciences of Ukraine | Source: | Büyükaşık, E., and Tribak, R. (2016). Rad-supplements in injective modules. Algebra and Discrete Mathematics, 22(2), 171-183. | Abstract: | We introduce and study the notion of Rad-sinjective modules (i.e. modules which are Rad-supplements in their injective hulls). We compare this notion with another generalization of injective modules. We show that the class of Rad-s-injective modules is closed under finite direct sums. We characterize Rads-injective modules over several type of rings, including semilocal rings, left hereditary rings and left Harada rings. © Journal “Algebra and Discrete Mathematics”. | URI: | http://hdl.handle.net/11147/5810 | ISSN: | 1726-3255 1726-3255 |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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