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ARMENDARIZ MODULES AND NILTORSIONLESS MODULES
Mathematical Reports, 2023In this paper, we introduce the concepts niltorsionless modules and NSmodules (which are generalisations of NI-rings). We prove that the class of niltorsionless modules contains the classes of semiprime and in particular, the class of regular modules ...
Hera Singh, Kh. +2 more
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SEMIDUALIZING MODULES AND RELATED MODULES
Journal of Algebra and Its Applications, 2011In this paper, we prove that the Bass class [Formula: see text] with respect to a semidualizing bimodule C contains all FP-injective S-modules. We introduce the definition of C-FP-injective modules, and give some characterizations of right coherent rings in terms of the C-flat S-modules and C-FP-injective S op -modules.
Zhang, Dongdong, Ouyang, Baiyu
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