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

Authors

Khitam S. H. Aljebory, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq.Follow
Assad M. A. Alhossaini, 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

Keywords

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

Article Type

Article

How to Cite this Article

Aljebory, Khitam S. H. and Alhossaini, Assad M. A. (2020) "The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules," Baghdad Science Journal: Vol. 17: Iss. 2, Article 12.
DOI: https://doi.org/10.21123/bsj.2020.17.2.0523