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On the structure of modules defined by subinjectivity

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info:eu-repo/semantics/closedAccess

Date

2019-10

Author

Altınay, Ferhat
Büyükaşık, Engin
Durgun, Yılmaz

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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.

Source

Journal of Algebra and Its Applications

Volume

18

Issue

10

URI

https://doi.org/10.1142/S0219498819501883
https://hdl.handle.net/11147/9535

Collections

  • Mathematics / Matematik [691]
  • Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection [4673]
  • WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection [4803]



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