Decomposability of free Tarski algebras (Q2496153)
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| Language | Label | Description | Also known as |
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| English | Decomposability of free Tarski algebras |
scientific article |
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Decomposability of free Tarski algebras (English)
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12 July 2006
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The Tarski algebras considered here are the so-called implication algebras introduced by J.\,C.\,Abbott in 1967. The authors investigate direct decomposability of free Tarski algebras. Main results: A free Tarski algebra with an infinite set of free generators is directly indecomposable. A free Tarski algebra with a finite set of free generators can only be decomposed into a direct product of two factors, one of which is the two-element Tarski algebra.
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Tarski algebras
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implication algebras
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free algebras
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factor congruences
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implicative filters
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