대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제38권1호
  • /
  • Pages.149-156
  • /
  • 2001
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

A STUDY ON ADDITIVE ENDOMORPHISMS OF RINGS

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

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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참고문헌

  1. Bull. Austral. Math. Soc. v.42 Rings whose additive endomorphisms are ring endomorphisms G.Birkenmeier;H.Heatherly
  2. Proceedings of the 54th Workshop on General Algebra Self-distributively generated algebras
  3. submitted Left self-distributively generated algebras
  4. Acta Math. Hunger. v.60 Rings with left self distributive multiplication G.F.Birkenmeier;H.E.hearherly;T.Kepka
  5. Studia Scientiarum Mathematicarum Hungarica v.22 Rings in which additive mappings are multiplicative S.Dhompongsa;J.Sanwong
  6. Period. Math. Hungar v.23 no.1 Rings whose additive endomorphisms are multiplicative M.Dugas;J.Hausen;J.A.Johnson
  7. Periodica Mathimatica Hungarica v.19 no.4 Rings whose additive mappings are multiplicative S.Feigelstock
  8. Infinite abelian groups I L.Fuchs
  9. Period. Math. Hungar v.23 no.1 On rings whose additive endomorphisms are multiplicative Y.Hirano
  10. Period. Math. Hungar. v.12 Additive endomorphisms of rings K.H.Kim;F.W.Roush
  11. Period. Math. Hungar. v.8 Research Problem 23 R.P.Sullivan