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Ultra LI-ideals in lattice implication algebras

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Abstract

We define an ultra LI-ideal of a lattice implication algebra and give equivalent conditions for an LI-ideal to be ultra. We show that every subset of a lattice implication algebra which has the finite additive property can be extended to an ultra LI-ideal.

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References

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Authors and Affiliations

  1. Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, 610031, P. R. China

    Keyun Qin & Yang Xu

  2. Department of Mathematics Education, Gyeongsang National University, Chinju, 660-701, Korea

    Young Bae Jun

Authors
  1. Keyun Qin
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  2. Yang Xu
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  3. Young Bae Jun
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Qin, K., Xu, Y. & Jun, Y.B. Ultra LI-ideals in lattice implication algebras. Czechoslovak Mathematical Journal 52, 463–468 (2002). https://doi.org/10.1023/A:1021759209277

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  • DOI: https://doi.org/10.1023/A:1021759209277

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