A STUDY ON ADDITIVE ENDOMORPHISMS OF RINGS

  • Cho, Yong-Uk (DEPARTMENT OF MATHEMATICS, COLLEGE OF NATURAL SCIENCES, SILLA UNIVERSITY)
  • Published : 2001.02.01

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.

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