Paper Information

Journal:   IRANIAN INTERNATIONAL JOURNAL OF SCIENCE   Fall 2000 , Volume 1 , Number 2; Page(s) 131 To 138.
 
Paper: 

CONSTRUCTION OF SOME JOIN SPACES FROM BOOLEAN ALGEBRAS

 
 
Author(s):  ASHRAFI A.R.*
 
* University of Kashan, Kashan, Iran
 
Abstract: 
The aim of this paper is to construct an algebraic hyperstructure over a set G corresponding to a Boolean algebra B and a function S:GB. In order to accomplish this goal we will need to define a hyperoperation on the set G. We define, ab =a^6 b={gEG/s(g)<=s(a)vs(b)} and prove that if the image of G is a v -semilattice or constitute a partition of 1 in B, then (G, ^6) is a hypergroup.
 
Keyword(s): HYPERGROUP, BOOLEAN ALGEBRA
 
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