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A note on faithful monogenic R-groups

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장전수학회 (Jangjeon Mathematical Society)|2014.04|Advanced Studies in Contemporary Mathematics|제24권 제2호|pp. 197-203

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키워드

monogenic R-groupsfaithful monogenic R-group
주제분류수학

초록

Throughout this paper, we denote that R is a near-ring and G an R-group. We initiate the study of R-substructures of G, representations of R on G, monogenic R-groups, faithful R-groups. Next, we investigate some properties of monogenic near-ring groups, faithfulmonogenic near-ring groups.

Abstract

Throughout this paper, we denote that R is a near-ring and G an R-group. We initiate the study of R-substructures of G, representations of R on G, monogenic R-groups, faithful R-groups. Next, we investigate some properties of monogenic near-ring groups, faithfulmonogenic near-ring groups.

참고문헌 (6)

  1. F. W. Anderson, "Rings and categories of modules" (1974), Springer-Verlag
  2. G. Betsch, "Primitive near-rings", Math. Z, 130, pp.351~361 (1973)
  3. C. G. Lyons, "Characterizing series for faithful D.G. near-rings", Proc. Amer. Math. Soc, 72, pp.221~227 (1978)
  4. S. J. Mahmood, "D.G. near-rings on the infinite dihedral groups, Nearrings and Near-fields", pp.151~166 (1987), Elsevier Science Publishers B.V.
  5. J. D. P. Meldrum, "Upper faithful D.G. near-rings", Proc. Edinburgh Math. Soc, 26, pp.361~370 (1983)
  6. J. D. P, Meldrum, "Near-rings and their links with groups" (1985), Pitman Advanced Publishing Program

관련 논문AI추천

SOME RESULTS OF R-GROUP STRUCTURES조용욱강원경기수학회 · 한국수학논문집2008 · 제16권 제3호A Study On Substructures of R-groups조용욱영남수학회 · East Asian Mathematical Journal2009 · 제25권 제2호SOME RESULTS ON MONOGENIC (R; S)-GROUPS조용욱한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제4호SOME PROPERTIES OF GM MODULES AND MR GROUPS조용욱강원경기수학회 · 한국수학논문집2008 · 제16권 제3호TWO PROPERTIES OF SELF MAP NEAR-RINGS조용욱장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호A Kurosh-Amitsur left Jacobson radical for right near-ringsK. Siva Prasad, Ravi Srinivasa Rao대한수학회 · 대한수학회보2008 · 제45권 제3호

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