Relation between Boolean Metric Spaces and Boolean Valued Rings

Dr. P. M.Padmalatha, P. Sushma

Abstract: In this paper the terms Boolean metric space, Boolean valued rings, Strong Boolean valued rings, weak Boolean valued rings are defined. Example of a Boolean valued ring which is not a weak Boolean valued ring is given. A few theorems to illustrate the relationship between the various kinds of Boolean valued rings and the Boolean metric spaces are established.

Keywords: Boolean metric space, Boolean valued rings, Strong Boolean valued rings, weak Boolean valued rings, Translations, motions, Triangle inequality, Relationships between the various kinds of Boolean valued rings and the Boolean metric spaces