Ultra LI-ideals in lattice implication algebras

Authors: Qin K.¹; Xu Y.²; Jun Y.B.³

Source: Czechoslovak Mathematical Journal, Volume 52, Number 3, September 2002 , pp. 463-468(6)

Publisher: Springer

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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.

Keywords: lattice implication algebra; (ultra) LI-ideal; finite additive property

Language: English

Document Type: Research article

Affiliations: 1: Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, P. R. China 2: Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, P. R. China, yxu@center2.swjtu.edu.cn 3: Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea, ybjun@nongae.gsnu.ac.kr

Publication date: 2002-09-01