Title of article :
Not all Epimorphisms are Surjective in the Class
of Diagonal Cylindric Algebras
Author/Authors :
Ahmed، Tarek Sayed نويسنده Department of Mathematics,Department of Mathematics,Cairo University,Cairo,Egypt ,
Issue Information :
ماهنامه با شماره پیاپی سال 2011
Abstract :
Let α be an infinite ordinal. We show that not all epimorphisms are surjective in the class Diα of diagonal cylindric algebras (regarded as a concrete category). It follows that Diα does not have the strong amalgamation property. This answers a question of Pigozzi.
Keywords :
di-
agonal algebras , Algebraic logic , amalgmation property , cylindric algebras
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes