Uniform Topology on Hilbert Algebras

  • Saeid, A. Borumand (Department of Mathematics, Islamic Azad University of Kerman) ;
  • Babaei, H. (Department of Mathematics, Islamic Azad University of Kerman) ;
  • Haveshki, M. (Department of Mathematics, Shahid Bahonar University of Kerman)
  • Received : 2004.03.30
  • Published : 2005.09.23

Abstract

We use a congruence relation on deductive systems of a Hilbert algebra H, to define a uniform structure on H and investigate the corresponding topology.

Keywords

References

  1. Kobe. Math. J. v.2 A note on deductive system of Hilbert algebra Busneag, D.
  2. Congruences and ideals in Hilbert algebras Chajda, I.;Halas, R.
  3. Acta Uni. Palackianae Olomuciensis Fac. rer. nat ser. Math. v.38 On ideals in Hilbert algebras Dudek, W.A.
  4. Introduction to Uniform Spaces James, I.M.
  5. Introduction to general topology Joshi, K.D.
  6. Topological Uniform Structures Page, W.