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Radicals of some semigroup algebras

Research output: Contribution to journalJournal article

Published

  • H.G. Dales
  • Dona E. Strauss
  • Yevhen Zelenyuk
  • Yulia Zelenyuk
Journal publication date08/2013
JournalSemigroup Forum
Journal number1
Volume87
Number of pages17
Pages80-96
Original languageEnglish

Abstract

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).