Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지

DECOMPOSITIONS AND EXPANSIONS OF FILTERS IN TARSKI ALGEBRAS

  • Kim, Jaedeok (Department of Mathematics, Computing and Information Sciences Jacksonville State University) ;
  • Kim, Youngmi (Department of Mathematics, Computing and Information Sciences Jacksonville State University) ;
  • Roh, Eun Hwan (Department of Mathematics Education Chinju National University of Education)
  • Received : 2007.10.12
  • Published : 2007.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

We show that any filter of Tarski algebra can be de-composed into the union of some sets. Moreover, we introduce the notion of expansions of filters in Tarski algebras, and discuss the notion of ${\sigma}$-primary filters in Tarski algebras. Finally, we show that there is no non-trivial quadratic Tarski algebras on a field X with $|X|{\geq}3$.

Keywords