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Communications in Algebra Volume 23, 1995 - Issue 2
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Original Articles

A lattice isomorphism between sets of ideals of the near-rings in a near-ring morita context

Shoji Kyuno Department of Mathematics, Tohoku Gakuin University, Tagajo, 985, Japan
&
Stefan Veldsman Department of Mathematics, University of Port Elizabeth, Port Elizabeth, 1600, 6000, South africa
Pages 629-651 | Received 01 Dec 1993, Published online: 27 Jun 2007

References

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  • Fuchs , P. and Maxson , C.J. Rings of homogeneous functions determined by Artinian ring modules , Manuscript .
  • Fuchs , P. , Maxson , C.J. , A.P.J. VAN DER , Walt and Kaarll , K. 1993 . Centralizer near-rings determined by PID-domains II . Periodica Math. Hung , 26 : 111 – 114 .
  • Kyuno , S. and Veldsman , S. 1992 . Morita near-rings . Quaest. Math , 15 : 431 – 49 .
  • Maxson , C.J. and A.P.J. Van der , Walt . 1991 . Centralizer near-rings over free ring modules . J. Austral. Math. Soc , 50 : 279 – 296 .
  • Meldrum , J.D.P. and A.P.J. Van der , Walt . 1986 . Matrix near-rings . Arch. Math , 47 : 312 – 319 .
  • Meyer , J.H. 1986 . Matrix near-rings , University of Stellenbosch .
  • Pilz , G. 1983 . Near-Rings (second edition) , North-Holland : Amsterdam .
  • Rowen , L.H. 1991 . Ring Theory , San Diego : Academic Press Inc .
  • A.P.J, Van der , Walt . 1987 . On two-sided ideals in matrix near-rings, in Near-rings and Near-fields , 267 – 272 . North-Holland : Amsterdam .
  • Veldsman , S. 1992 . Special radicals and matrix near-rings . J. Austral. Math. Soc , 52 : 356 – 367 .

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