A topological characterization of an almost Boolean algebra

• K. Ramanuja Rao ^[1] ; K. Rama Prasad ^[2] ; G. Vara Lakshmi ^[2] ; Ch. Santhi Sundar Raj ^[2]
  1. [1] Fiji National University

     Fiji National University

     Fiyi

     
  2. [2] Department of Engineering Mathematics, Andhra University Visakhapatnam - 530003, A.P., India
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 39, Nº 1, 2024, págs. 47-55
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • For any Boolean space X and a discrete almost distributive lattice D, it is proved that the set C(X, D) of all continuous mappings of X into D, when D is equipped with the discrete topology, is an almost Boolean algebra under pointwise operations. Conversely, it is proved that any almost Boolean algebra is a homomorphic image of C(X,D) for a suitable Boolean space X and a discrete almost distributive lattice D.