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Properties on types of primitive near-rings

Yong Uk Cho
대한수학회 (The Korean Mathematical Society)|2004.10|대한수학회논문집 (Communications of the KMS)|제19권 제4호|pp. 601-618

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Abstract

Throughout this paper, we will consider that R is a near-ring and G an R-group. We initiate the study of monogenic, strongly monogenic R-groups, 3 types of nonzero R-groups and their basic properties. At ¯rst, we investigate some properties of D.G. (R; S)-groups, faithful R-groups, monogenic R-groups, simple and R-simple R-groups. Next, we introduce modular right ideals, t-modular right ideals and 3 types of primitive near-rings. The purpose of this paper is to investigate some properties of primitive types near-rings and their characterizations.

참고문헌 (7)

  1. "Rings and categories of modules" (1974), Springer-Verlag
  2. "On faithful monogenic R-groups and related substructures", 11, pp.27~43 (2002)
  3. "Primitivity and simplicity of non-zero symmetric near-rings", 26(11), pp.3691~3708 (1998)
  4. "Characterizing series for faithful D.G. near-rings" (1978)
  5. "D.G. near-rings on the innite di-hedral groups" (1987), Elsevier Science Publishers B.V. North-Holland
  6. "Forcing linearity numbers for modulesover rings with nontrivial idempotents", pp.66~84 (2002), Academic Press
  7. "Near-rings and their links with groups" (1985), Pitman Advanced PublishingProgram

관련 논문AI추천

Strong Reducedness and Strong Regularity for Near-ringsYasuyuki Hirano, Yong Uk Cho경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제4호On Prime Near-rings with Generalized -derivationsOznur Goelbasi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제2호On prime Gamma-near-rings with derivationMehmet Ali Ozturk, Mustafa Ucckun, Young Bae Jun대한수학회 · 대한수학회논문집2004 · 제19권 제3호Some properties of symmetric bi-($\sigma ,\tau $)-derivations in near-ringsMehmet Ali \, Y\i lmaz \c{C}even대한수학회 · 대한수학회논문집2007 · 제22권 제4호Two More Radicals for Right Near-rings: The Right Jacobson Radicals of Type-1 and 2K. Siva Prasad, Ravi Srinivasa Rao경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호Morphic Elements in Regular Near-ringsAlex Samuel Bamunoba, David Ssevviiri, Philly Ivan Kimuli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제4호

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