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Some results on skew Hurwitz series rings

  • Abdolreza Tehranchi
  • Kamal Paykan
Article
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Abstract

A ring is quasi-Baer (respectively, Baer) in case the right annihilator of every ideal (respectively, subset) is generated by an idempotent, as a right ideal. In this article, we investigate on the relationship between the quasi-Baerness, Baerness, semiprimitivity, simplicity and NI properties of a ring R, and its skew Hurwitz series ring \((HR, \alpha )\), where R is a ring equipped with an endomorphism \(\alpha \).

Keywords

Skew Hurwitz series ring (Quasi)  Baer ring Semiprimitive ring Simple ring NI-ring 

Mathematics Subject Classification

16S34 16S35 16S36 16W60 16D40 
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Notes

Acknowledgements

The authors would like to express their deep gratitude to the referee for a very careful reading of the article, and many valuable comments, which have greatly improved the presentation of the article. The first author thanks department of Mathematics at university of Alberta, and, specifically, professor Anthony T-M Lau for constructive comments and kind support during my sabbatical that led to significant improvements in this study.

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Copyright information

© Springer-Verlag Italia S.r.l., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Basic Sciences, South Tehran BranchIslamic Azad UniversityTehranIran
  2. 2.Department of Basic Sciences, Garmsar BranchIslamic Azad UniversityGarmsarIran

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