Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/9535
Title: On the structure of modules defined by subinjectivity
Authors: Altınay, Ferhat
Büyükaşık, Engin
Durgun, Yılmaz
Keywords: Injective modules
Subinjectivity domains
Indigent modules
Issue Date: 2019
Publisher: World Scientific Publishing
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.
URI: https://doi.org/10.1142/S0219498819501883
https://hdl.handle.net/11147/9535
ISSN: 0219-4988
1793-6829
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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