Lower homomorphisms on additive generalized algebraic lattices

Chen, Xueyou ^[1] ; 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. 301-307
Idioma: inglés
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Resumen
- In this paper, with the additivity property, the generalized way-below relation and the maximal system of subsets as tools, we prove that all lower homomorphisms between two additive generalized algebraic lattices form an additive generalized algebraic lattice, which yields the classical theorem: the function space between T0-topological spaces is also a T0-topological space with respect to the pointwise convergence topology.