Weakly J-filters property in lattices
Shahabaddin Ebrahimi Atani
Department of Pure Mathematics, Guilan University, Rasht, Iran.
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Pages 248-259 | Received 17 September 2024, Accepted 13 May 2025, Published 26 January 2026
Abstract
Let \mathcal{L} be a bounded distributive lattice. Similar to the definition of weakly J-ideals of commutative rings, we introduce and study weakly J-filters of lattices. The main purpose of this paper is devoted to extend the notion of weakly J-ideal property in commutative rings to weakly J-filter property in lattices.
Keywords: lattice, J-filter, weakly J-filter.
MSC numbers: Primary: 05C69, 06B99; Secondary: 05C15, 05C25. 47B47.
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