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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Publication Date

Mon May 11 2020

Journal Name

Baghdad Science Journal

Volume

17

Issue Number

2

DOI

10.21123/bsj.2020.17.2.0523

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

Jacobson radical of semiring

P-injective

P.Q.- principal injective semimodule

Semimodule semiring.

Khitam Aljebory et al.

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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

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