A STUDY ON ADDITIVE ENDOMORPHISMS OF RINGS

Abstract

In this paper, we initiate the investigation of ring in which all the additive endomorphisms are generated by ring endomorphisms (AGE-rings). This study was motivated by the work on the Sullivan’s Research Problem [11]: Characterize those rings in which every additive endomorphism is a ring endomorphism (AE-rings). The purpose of this paper is to obtain a certain characterization of AGE-rings, and investigate some relations between AGE and LSD-generated rings.

Keywords

• Baer rings;
• P.P rings;
• Baer near-rings;
• P.P. near-rings

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References

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