Advanced Search

Match of the following rules

Add Sub-clause

Add Another Rule

Contains the following math formula (red border means the formula is incomplete)

Formula preview

The search session has expired. Please query the service again.

Currently displaying 1 – 2 of 2

Order by Relevance | Title | Year of publication

Ultra $L I$ -ideals in lattice implication algebras

Ke Yun Qin; Yang Xu; Young Bae Jun — 2002

Czechoslovak Mathematical Journal

We define an ultra $L I$ -ideal of a lattice implication algebra and give equivalent conditions for an $L I$ -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 $L I$ -ideal.

Ultra $L I$ -Ideals in lattice implication algebras and $M T L$ -algebras

Xiaohong Zhang; Ke Yun Qin; Wiesław Aleksander Dudek — 2007

Czechoslovak Mathematical Journal

A mistake concerning the ultra $L I$ -ideal of a lattice implication algebra is pointed out, and some new sufficient and necessary conditions for an $L I$ -ideal to be an ultra $L I$ -ideal are given. Moreover, the notion of an $L I$ -ideal is extended to $M T L$ -algebras, the notions of a (prime, ultra, obstinate, Boolean) $L I$ -ideal and an $I L I$ -ideal of an $M T L$ -algebra are introduced, some important examples are given, and the following notions are proved to be equivalent in $M T L$ -algebra: (1) prime proper $L I$ -ideal and Boolean $L I$ -ideal,...

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 2 of 2

Ultra L I -ideals in lattice implication algebras

Ultra L I -Ideals in lattice implication algebras and M T L -algebras

Ultra $L I$ -ideals in lattice implication algebras

Ultra $L I$ -Ideals in lattice implication algebras and $M T L$ -algebras