On a Class of Harada Rings

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Abstract

In this study, inspired by the definition and a previous study [F. Eryilmaz, 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 with R left perfect and Rad(R) included in Soc(RR) was found with the help of strongly local R-modules.

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Keywords

SS-Harada Ring, Left Artinian Ring, SS-Lifting Module, Free, projective, and flat modules and ideals in associative algebras, 17a01, Other classes of modules and ideals in associative algebras, left Artinian ring, left artinian ring, ss-Harada ring, 16d90, QA1-939, ss-harada ring, ss-lifting module, Mathematics

Fields of Science

01 natural sciences, 03 medical and health sciences, 0302 clinical medicine, 0101 mathematics

Citation

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Q2

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OpenCitations Citation Count
1

Source

Open Mathematics

Volume

20

Issue

1

Start Page

1833

End Page

1837

URI

https://doi.org/10.1515/math-2022-0548
 https://hdl.handle.net/20.500.12573/4314

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