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Stone compactification of additive generalized-algebraic lattices

    1. [1] Shandong University of Technology

      Shandong University of Technology

      China

    2. [2] Hunan University

      Hunan University

      China

  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 8, Nº. 2, 2007, págs. 309-317
  • Idioma: inglés
  • Enlaces
  • Resumen
    • In this paper, the notions of regular, completely regular, compact additive generalized algebraic lattices are introduced, and Stone compactification is constructed. The following theorem is also obtained. Theorem: An additive generalized algebraic lattice has a Stone compactification if and only if it is regular and completely regular.


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