Stone compactification of additive generalized-algebraic lattices

• Chen, Xueyou ^[1] ; Li, Quingguo ^[2] ; Deng, Zike ^[2]
  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
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• 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.