Universal Journal of Mathematics and Mathematical Sciences
Volume 6, Issue 2, Pages 75 - 119
(October 2014)
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CLASSES OF ALGEBRAS WITH THE AMALGAMATION PROPERTY
Basim Samir
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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. |
| Keywords and phrases: Pinter’s substitution algebras, cylindric algebras, amalgamation property. |
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