The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules

Khitam Aljebory et al.

doi:10.21123/bsj.2020.17.2.0523

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Published: May 11, 2020

DOI: https://doi.org/10.21123/bsj.2020.17.2.0523

Keywords:

Jacobson radical of semiring, P-injective, P.Q.- principal injective semimodule, Semimodule semiring.

Khitam Aljebory et al.

College of Education for Pure Sciences, University of Babylon, Babylon, Iraq.

Abstract

In this work, we introduced the Jacobson radical (shortly Rad (Ș)) of the endomorphism semiring Ș = ( ), provided that is principal P.Q.- injective semimodule and some related concepts, we studied some properties and added conditions that we needed. The most prominent result is obtained in section three

-If is a principal self-generator semimodule, then (_ȘȘ) = W(Ș).

Subject Classification: 16y60

Received 12/3/2019, Accepted 21/10/2019, Published 1/6/2020

How to Cite

The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules. Baghdad Sci.J [Internet]. 2020 May 11 [cited 2024 Apr. 27];17(2):0523. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3195

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Vol. 17 No. 2 (2020): Issue 2

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P-ISSN: 2078-8665 | E-ISSN: 2411-7986

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Journal: Baghdad Science Journal
Publisher: College of Science for Women/ University of Baghdad
Baghdad Sci. J. is peer-reviewed and open access
Print ISSN: 2078-8665
Electronic ISSN: 2411-7986
Publishing Frequency: Quarterly (from 2004 - 2021) Bi-monthly (from 2022) Monthly (from 2024)
Launched Date: 2004
Abbreviation: Baghdad Sci.J.
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© 2022 The Author(s). Published by College of Science for Women, University of Baghdad. This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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