Radical approach in BCH-algebras.
Page 1
Roh, Eun Hwan (2004)
International Journal of Mathematics and Mathematical Sciences
Kondo, Michiro (2001)
International Journal of Mathematics and Mathematical Sciences
Sergio Celani, Leonardo Cabrer, Daniela Montangie (2009)
Open Mathematics
In this paper we introduce a special kind of ordered topological spaces, called Hilbert spaces. We prove that the category of Hilbert algebras with semi-homomorphisms is dually equivalent to the category of Hilbert spaces with certain relations. We restrict this result to give a duality for the category of Hilbert algebras with homomorphisms. We apply these results to prove that the lattice of the deductive systems of a Hilbert algebra and the lattice of open subsets of its dual Hilbert space, are...
Dudek, Wiesław A., Jun, Young Bae (2005)
International Journal of Mathematics and Mathematical Sciences
Page 1