충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제20권4호
  • /
  • Pages.457-463
  • /
  • 2007
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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)
  • 투고 : 2007.10.12
  • 발행 : 2007.12.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

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 $|X|{\geq}3$.

키워드