MℬJ-Filters on Lattice Implication Algebras
نویسندگان
چکیده
Abstract We explored the some equivalent conditions and properties of MℬJ-filters Lattice implication algebras. As well we define MℬJ-lattice filters Finally, it was established that MℬJ-Lattice filter is an MℬJ-filter, but not other way around.
منابع مشابه
Fantastic Filters of Lattice Implication Algebras
The notion of a fantastic filter in a lattice implication algebra is introduced, and the relations among filter, positive implicative filter, and fantastic filter are given. We investigate an equivalent condition for a filter to be fantastic, and state an extension property for fantastic filter.
متن کاملON n-FOLD POSITIVE IMPLICATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS
The notion of n-fold positive implicative filter in a lattice implication algebra is introduced, and related properties are investigated. Relations among a filter, an n-fold implicative filter and an n-fold positive implicative filter are stated. Characterizations of n-fold positive implicative filter are given, and the extension property for n-fold positive implicative filter is established.
متن کاملON n-FOLD IMPLICATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS
We introduce the notion of n-fold implicative filters and n-fold implicative lattice implication algebras. We give characterizations of n-fold implicative filters and nfold implicative lattice implication algebras. Finally, we construct an extension property for n-fold implicative filter. 2000 Mathematics Subject Classification. 03G10, 06B10.
متن کاملv - Filters on Lattice Implication
In this paper, the concept of v-filters on lattice implication algebras is introduced by linking the Vague set and filter theory of lattice implication algebras; The properties and equivalent characterizations of v-filters are investigated; The relations between v-filters and filters are studied.
متن کاملFolding Theory of Implicative/fantastic Filters in Lattice Implication Algebras
We discuss the n-fold implicative/fantastic filters in lattice implication algebras, which are extended notions of implicative/fantastic filters. Characterizations of n-fold implicative/fantastic filters are given. Conditions for a filter to be n-fold implicative are provided. Extension property for an n-fold fantastic filter is established.
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ژورنال
عنوان ژورنال: Journal of physics
سال: 2022
ISSN: ['0022-3700', '1747-3721', '0368-3508', '1747-3713']
DOI: https://doi.org/10.1088/1742-6596/2332/1/012007