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• W2897851204 abstract "The aim of this paper is to present new results and generalize some results about indigent modules. The commutative rings whose simple modules are indigent or injective are fully determined. The rings whose cyclic right modules are indigent are shown to be semisimple Artinian. We give a complete characterization of indigent modules over commutative hereditary Noetherian rings. We show that a reduced module is indigent if and only if it is a Whitehead test module for injectivity over commutative hereditary noetherian rings. Furthermore, Dedekind domains are characterized by test modules for injectivity by subinjectivity." @default.
• W2897851204 created "2018-10-26" @default.
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• W2897851204 date "2019-08-06" @default.
• W2897851204 modified "2023-10-18" @default.
• W2897851204 title "On the structure of modules defined by subinjectivity" @default.
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• W2897851204 doi "https://doi.org/10.1142/s0219498819501883" @default.
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