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SOME PROPERTIES OF GM MODULES AND MR GROUPS

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강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2008.09|한국수학논문집 (Korean Journal of Mathematics)|제16권 제3호|pp. 281-290

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참고문헌

키워드

AE ringsR-mapsGM modulesMR groups.
주제분류수학

초록

The purpose of this paper, GM modules are de¯ned as a generalization of AGR rings. Also, from the faithful GM- property, we get a commutativity of rings. Finally, for a nearring R; we will introduce MR groups, and also derive some properties of GM modules and MR groups.

Abstract

The purpose of this paper, GM modules are de¯ned as a generalization of AGR rings. Also, from the faithful GM- property, we get a commutativity of rings. Finally, for a nearring R; we will introduce MR groups, and also derive some properties of GM modules and MR groups.

참고문헌 (15)

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  3. S. Dhompongsa, "Rings in which additive mappings are multi- plicative", Studia Sci, 22, pp.357~359
  4. M. Dugas, "Rings whose additive endomorphisms are ring endomorphisms", Bull. Austral. Math. Soc, 45, pp.91~103
  5. S. Feigelstock, "Rings whose additive endomorphisms are multiplicative", Period. Math. Hungar, 19, pp.257~260 (1988)
  6. Y. Hirano, "On rings whose additive endomorphisms are multiplicative", Period. Math. Hungar, 23, pp.87~89 (1991)
  7. A.V. Kelarev, "On left self distributive rings", Acta Math. Hungar, 71, pp.121~122
  8. K.H. Kim, "Additive endomorphisms of rings", Period. Math. Hungar, 12, pp.241~242
  9. C.G. Lyons, "Characterizing series for faithful D.G. near- rings", Proc. Amer. Math. Soc., 통권 : 72, pp.221~227
  10. S.J. Mahmood, "D.G. near-rings on the in¯nite dihe- dral groups, Near-rings and Near-¯elds", pp.151~166 (1987), Elsevier Science Publishers B.V.
  11. C.J. Maxson, "Forcing linearity numbers for modules over rings with nontrivial idempotents" (2002), Academic Press
  12. J. D. P. Meldrum, "Upper faithful D.G. near-rings", Proc. Edinb. Math. Soc., 통권 : 26
  13. J.D.P. Meldrum, "Near-rings and their links with groups", Pitman Advanced Publishing Program, ~ (1985)
  14. G. Pilz, "Near-rings" (1983), North Holland Publishing Company
  15. R.P. Sullivan, "Research problem No. 23", Period. Math. Hungar, 8, pp.313~314 (1977)

관련 논문AI추천

SOME RESULTS OF R-GROUP STRUCTURES조용욱강원경기수학회 · 한국수학논문집2008 · 제16권 제3호SOME RESULTS ON MONOGENIC (R; S)-GROUPS조용욱한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제4호A note on faithful monogenic R-groups조용욱장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호SOME RESULTS ON REDUCIBILITY AND STRONG REDUCIBILITY조용욱영남수학회 · East Asian Mathematical Journal2010 · 제26권 제3호Homomorphism and anti homomorphism of cubic ideals of near-ringsK. Lenin muthu kumaran, V. Chinnadurai기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제4호A Study On Substructures of R-groups조용욱영남수학회 · East Asian Mathematical Journal2009 · 제25권 제2호

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