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Communications in Algebra Volume 29, 2001 - Issue 8
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Original Articles

LATTICES OF RADICALS OF NEAR-RINGS

G. F. Birkenmeier University of Louisiana at Lafayette, Lafayette, LA, 70504, U.S.A.
,
G. L. Booth University of Port Elizabeth, Port Elizabeth, 6000, South Africa
&
N. J. Groenewald University of Port Elizabeth, Port Elizabeth, 6000, South Africa
Pages 3593-3604 | Received 01 Mar 2000, Published online: 20 Aug 2006

REFERENCES

  • Birkenmeier , G. F. and Heatherly , H. 1993 . Minimal Ideals in Near-rings and Localised Distributivity Conditions . J. Austral. Math. Soc. , 54 ( Ser. A ) : 156 – 168 .
  • Booth , G. L. and Groenewald , N. J. 1992 . Special Radicals of Near-rings . Math. Japonica , 37 : 701 – 706 .
  • Booth , G. L. , Groenewald , N. J. and Veldsman , S. 1990 . A Kurosh-Amitsur Prime Radical for Near-rings . Comm. in Algebra , 18 : 3111 – 3122 .
  • Booth , G. L. and Veldsman , S. 1994 . Special Radicals of Near-rings and Gamma-near-rings . Studia Sci. Math. Hungar , 29 : 111 – 126 .
  • Holcombe , M. 1982 . A Hereditary Radical for Near-rings . Studia Sci. Math. Hungar , 17 : 453 – 456 .
  • Meldrum , J. D.P. 1985 . Near-rings and Their Links with Groups: Research notes in Mathematics 134 Pitman .
  • Pilz , G. 1983 . Near-rings North-Holland .
  • Rjabuhin , Ju. M. 1968 . Radicals in Ω-Groups I, General Theory . Math. Issled. , 3 : 123 – 160 . (in Russian)
  • Snider , R. L. 1972 . Lattices of Radicals . Pacific J. Math. , 40 : 207 – 219 .
  • Veldsman , S. 1990 . Special Radicals and Matrix Near-rings . J. Austral. Math. Soc. , 52 ( Ser. A ) : 356 – 367 .
  • Veldsman , S. 1996 . The General Radical Theory of Near-rings–Solutions to Some Open Problems . Algebra Universalis , 36 : 185 – 189 .

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