A weak boolean representation of double stone algebras

• Autores: M. Zabka, T. Katrinák
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 3, 2004, págs. 615-628
• Idioma: inglés
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• Resumen

  • S. Burris and H. Werner in Trans. AMS 284(1979) introduced a (weak) Boolean product of algebras. It is a special subdirect product over a Boolean space. It was shown in the above paper that the (weak) Boolean product of algebras is equivalent to the formation of global sections of sheaves of algebras over Boolean spaces. In this paper we show that every non-trivial double Stone algebra can be characterized in terms of weak Boolean products of pure double Stone algebras. Using this technique a new characterization of the free (regular) double Stone algebras is given.