학술저널
DECOMPOSITIONS AND EXPANSIONS OF FILTERS IN TARSKI ALGEBRAS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 4
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2007.12457 - 463 (7 pages)
- 0
We show that any ¯lter of Tarski algebra can be de-composed into the union of some sets. Moreover, we introduce the notion of expansions of ¯lters in Tarski algebras, and discuss the notion of ¾-primary ¯lters in Tarski algebras. Finally, we show that there is no non-trivial quadratic Tarski algebras on a ¯eld X with jXj ¸ 3.
1. Introduction
2. Decompositions of ¯lters
3. Expansions of ¯lters
4. Quadratic Tarski algebras
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