The Jacobson radical of the endomorphism semiring of P.Q.-principal injective semimodules

الملخص EN

In this work, we introduced the Jacobson radical (shortly Rad (Ș)) of the endomorphism semiring Ș = 〖End〗_R(B), provided that B 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 B is a principal self-generator semimodule, then Z(ȘȘ) = W(Ș).Subject Classification: 16y60