On a class of Harada rings

Author:

Türkmen Burcu Nişancı1,Demirci Yılmaz Mehmet2

Affiliation:

1. Department of Mathematics, Amasya University, Faculty of Art and Science , Ipekköy , Amasya , Turkey

2. Department of Engineering Science, Abdullah Gül University, Faculty of Engineering , Kayseri , Turkey

Abstract

Abstract In this study, inspired by the definition and a previous study [F. Eryılmaz, SS-lifting modules and rings, Miskolc Math. Notes 22 (2021), no. 2, 655–662], left Harada rings are adapted to ss-Harada rings, and the important properties of these rings are provided. The characterization of a left ss-Harada ring R R with R R left perfect and Rad ( R ) {\rm{Rad}}\left(R) included in Soc ( R R ) {\rm{Soc}}\left({}_{R}R) was found with the help of strongly local R R -modules.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference15 articles.

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4. E. Kaynar, H. Çalışıcı, and E. Türkmen, SS-supplemented modules, Commun. Fac. Sci. Univ. Ank. Ser. A1. Math. Stat. 69 (2020), no. 1, 473–485, DOI: https://doi.org/10.31801/cfsuasmas.585727.

5. D. X. Zhou and X. R. Zhang, Small-essential submodules and Morita duality, Southeast Asian Bull. Math. 35 (2011), no. 6, 1051–1062.

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