DECOMPOSITIONS OF IDEALS IN BCI-ALGEBRAS

  • Wei, Shi-Ming (Institute of Mathematics Huaibei Coal Mining Teacher′s College) ;
  • Jun, Young-Bae (Institute of Mathematics Huaibei Coal Mining Teacher′s College)
  • Published : 1994.04.01

Abstract

In 1966, Iseki [4] introduced the notion of BCI-algebras which is a generalization of BCK-algebras. The ideal theory plays an important role in studying BCK/BCI-algebras. In this paper we study decompositions of ideals in BCI-algebras, and give a characterization of closed ideals. Also we define ignorable ideals in BCI-algebras, and investigates its properties.(omitted)

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