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Classes of Algebras with the Amalgamation Property‏

Research Authors
Basim Samir
Research Abstract

We introduce an abstract class of algebras that is a proper reduct of both Pinter’s substitution algebras and cylindric algebras. We show that the class of representable algebras has the amalgamation property. We thus obtain a variety V of cylindric-like algebras such that has the interpolation property but not the strong interpolation property.

Research Department
Research Journal
Universal Journal of Mathematics and Mathematical Sciences
Research Member
Research Publisher
Pushpa Publishing House
Research Rank
1
Research Vol
Volume 6, Issue 2
Research Website
http://www.pphmj.com/abstract/8888.htm
Research Year
2014
Research Pages
Pages 75 - 119