On the f-Prime Radical of Near-Rings

Satyanarayana Bhavanari () and Richard Wiegandtt ()
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Satyanarayana Bhavanari: Acharya Nagarjuna University, Department of Mathematics
Richard Wiegandtt: Hungarian Academy of Sciences, A. Rényi Institute of Mathematics

A chapter in Nearrings and Nearfields, 2005, pp 293-299 from Springer

Abstract: Abstract The f-prime radical rf of 0-symmetric near-rings is an idempotent Hoehnke radical; either rf(N)=0 or rf(N)=β(N) the prime radical. The radical classes of rf and β coincide. In a universal class of near-rings, if the f-prime radical is complete then rf=β.

Keywords: prime near-ring; prime radical; strong nilpotence; idempotent Hoehnke radical (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3391-9_16

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DOI: 10.1007/1-4020-3391-5_16

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