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A NOTE ON GT-ALGEBRAS

김영미|노은환|김재덕
한국수학교육학회|2009.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제1호|pp. 59-68

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키워드

Tarski algebraGT-algebraquasi-ordered setGT-filter.
주제분류수학

초록

We introduce the notion of GT-algebras as a generalization of the concept of Tarski algebras. We introduce the notion of GT-filters in GT-algebras, and we prove some properties of GT-filters.

Abstract

We introduce the notion of GT-algebras as a generalization of the concept of Tarski algebras. We introduce the notion of GT-filters in GT-algebras, and we prove some properties of GT-filters.

참고문헌 (6)

  1. M. Abad, "Varieties and Quasivarieties of Monadic Tarski algebras", Sci. Math. Jpn, 56(3), pp.599~612 (2002)
  2. J.C. Abbott, "Semi-boolean algebras", Mathematicki Vesnik, 4(19), pp.177~198 (1967)
  3. J.C. Abbott, "Implicational algebras", Bull. Math, R. S. Roumaine, 11, pp.3~23 (1967)
  4. G. Birkho®, "Lattice Theory, Amer. Math. Soc. Colloq. Publ., 25, second edition 1948; third edition, 1967", Providence
  5. S.A. Celani, "Modal Tarski algebras", Rep. Math. Logic, 39, pp.113~126 (2005)
  6. Jaedeok Kim, "Decompositions and expansions of filters in Tarski algebras", 충청수학회지, 20(4), pp.457~463 (2007), 충청수학회

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