• DUAL HEYTING ALMOST DISTRIBUTIVE L
Abstract
In this paper, the concept of a dual Heyting Almost Distributive Lattice (Dual H-ADL) as a generalization of a dual Heyting algebra in the class of ADLs is introduced and studied its properties. We characterize a Dual H-ADL in terms of its principal ideals. Necessary and sufficient conditions are derived. It is shown that every dual H-ADL is Dual Pseudo-Complemented Almost Distributive Lattice.
Keywords
Almost Distributive Lattice (ADL); Dual Heyting Algebra; Maximal element; Principal ideal; Dual Heyting Almost Distributive Lattice (Dual H-ADL).
Full Text:
PDFRefbacks
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2011-2024 Research Journal of Pure Algebra (RJPA) Copyright Agreement & Authorship Responsibility | Counter |