Sulla varietà generata dall’algebra formale di tre elementi

Abstract

This work specifies the results obtained by R. Magari in [7] and [8], in the case of W=3, developing a beginning of w- atoms theory but, expecially, considering M.H.Stone [11], a similar topological representation theory for 3-algebras. So we must introduce some particular orderly tripartitions of a set, to replace the usual closed or open subset.We can observe the immediate effecte of this modification, in the definitions of compactness and connection: we must change from two possible dual definitions in the Boolean situation, to six equivalent definitions in this situation.The conclusive argument is the proof of a theorem similar to the Stone theorem of Boolean algebras.