In this study we define the radical of the Krasner hypermodules in the subcategory RShmod, then we use short exact sequences in homological algebra for Krasner hypermodules. Besides, by studying the concept of tau-supplements in module theory we will generalize it to the Krasner R-hypermodules by using short exact sequences and a subcategory of RS hmod.
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subcategory of hypermodules,preradical,supplemented hypermodules,tau-supplemented hypermodules
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