The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules
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Published:
May 11, 2020
Keywords:
Jacobson radical of semiring, P-injective, P.Q.- principal injective semimodule, Semimodule semiring.
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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
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The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules. Baghdad Sci.J [Internet]. 2020 May 11 [cited 2025 Jan. 19];17(2):0523. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3195
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How to Cite
1.
The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules. Baghdad Sci.J [Internet]. 2020 May 11 [cited 2025 Jan. 19];17(2):0523. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3195
