Orthopseudorings and congruences on distributive lattice with dual weak complementation

In this article, the concept of weak annulet is defined on the distributive lattice with dual weak complementation (DDWCL). Properties of weak annulets are proved. The relationship between orthopseudoring and ortho-lattice of all weak annulets of DDWCL is demonstrated. Congruence relations, with res...

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Detalles Bibliográficos
Autor principal: Rezk, Eman Ghareeb
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Review Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10333443/
https://www.ncbi.nlm.nih.gov/pubmed/37441375
http://dx.doi.org/10.1016/j.heliyon.2023.e17190
Descripción
Sumario:In this article, the concept of weak annulet is defined on the distributive lattice with dual weak complementation (DDWCL). Properties of weak annulets are proved. The relationship between orthopseudoring and ortho-lattice of all weak annulets of DDWCL is demonstrated. Congruence relations, with respect to weak annulets on DDWCL (W-congruences), are established. The double-face algebraic structure of all weak annulets and all W-congruence is investigated.

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