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On primeness in matrix near-rings

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Publication:911696
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DOI10.1007/BF01246769zbMath0697.16036MaRDI QIDQ911696

G. L. Booth, Nico J. Groenewald

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

matrix near-ringuniformly strongly equiprime radicals


Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Prime and semiprime associative rings (16N60) Near-rings (16Y30)


Related Items (6)

On the near-ring counterpart of the matrix ring isomorphism \(M_{mn}(R)\cong M_ n(M_ m(R))\) ⋮ On equiprime near-rings ⋮ Partial order in matrix nearrings ⋮ Generalization of prime ideals in \(M_n(N)\)-group \(N^n\) ⋮ On primeness and nilpotence in structural matrix near-rings ⋮ Different prime ideals in near-rings



Cites Work

  • Unnamed Item
  • Matrix near rings
  • Radicals and subdirect decomposition
  • A kurosh-amitsur prime radical for near-rings
  • PRIMITIVITY IN MATRIX NEAR-RINGS
  • MODULO-CONSTANT IDEAL-HEREDITARY RADICALS OF NEAR-KINGS
  • STRONGLY EQUIPRIME NEAR-RINGS




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