Radicals determined by subsets of rings

Stefan Veldsman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Many radicals are determined by a property that subsets of a ring may satisfy; for example, the subsets of a ring singled out could be m-systems leading to the prime radical. Here this process is formalized. In addition, the conditions that a property of the subsets must satisfy to ensure that the corresponding radical fulfills a variety of criteria are described.

Original languageEnglish
Article number1250043
JournalJournal of Algebra and Its Applications
Issue number2
Publication statusPublished - Apr 2012


  • KuroshAmitsur radical
  • completely prime
  • prime
  • superprime

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics


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