ON LI-IDEALS AND PRIME LI-IDEALS OF LATTICE IMPLICATION ALGEBRAS

  • Jun, Young-Bae
  • Published : 1999.03.01

Abstract

As a continuation of the paper [3], in this paper we investigate the further properties on LI-ideals, and show that how to generate an LI-ideal by both and LI-ideal and an element. We define a prime LI-ideal, and give an equivalent condition for a proper LI-ideal to be prime. Using this result, we establish the extension property and prime LI-ideal theorem

Keywords

lattice (H) implication algebra;LI-ideal;lattice ideal;Prime LI-ideal

References

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