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Radicals of some semigroup algebras

Research output: Contribution to journalJournal article


  • H.G. Dales
  • Dona E. Strauss
  • Yevhen Zelenyuk
  • Yulia Zelenyuk
Journal publication date08/2013
JournalSemigroup Forum
Journal number1
Number of pages17
Original languageEnglish


In this paper we seek to determine the Jacobson radical of certain algebras based on semigroups, and in particular on the semigroups (βS,□), where S is a cancellative, countable, abelian semigroup and βS is its Stone–Čech semigroup compactification. In particular, we wish to determine the radical of ℓ  1(βℕ).