The completely prime radical in near-rings

DOI10.1007/BF01903337zbMath0655.16025MaRDI QIDQ1109116

Nico J. Groenewald

Publication date: 1988

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

nilpotent elementszero-symmetric near-ringsupper radicalcompletely prime idealcompletely prime near-ringscompletely prime radicalcompletely semiprime idealsubdirect sum of near-rings without proper zero divisors

Mathematics Subject Classification ID

Near-rings (16Y30) Modules, bimodules and ideals in associative algebras (16Dxx) Radicals and radical properties of associative rings (16Nxx)

Related Items (11)

Prime ideals and prime radicals in near-rings ⋮ Equiprime, 3-prime and c-prime fuzzy ideals of nearrings. ⋮ Unnamed Item ⋮ Interval valued L-fuzzy cosets of nearrings and isomorphism theorems ⋮ Prime ideals in near-rings ⋮ Graph of a Nearring with Respect to an Ideal ⋮ Near-Ring Radicals and Class Pairs ⋮ Weakly and Strongly Regular Near-rings ⋮ Reference points and roughness ⋮ Unnamed Item ⋮ On Jacobson Near-rings and Special Radicals

Cites Work

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• Prime ideals and nil radicals in near-rings
• Radicals and subdirect decomposition
• Near-rings in which each element is a power of itself

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