Kernel ideals and co-Kernel dual ideals in the variety of MS-almost distributive lattices
Gezahagne Mulat Addis, Teferi Getachew Alemayehu, Wondwosen Zemene Norahun, Dereje Kifle Boku, Terefe Getachew Beyene · Journal of Interdisciplinary Mathematics · 2025
In this paper, we introduce and provide a comprehensive characterization of Kernel ideals and coKernel dual ideals within the structure of MS-almost distributive lattices. These concepts are examined through the lens of lattice theory, and their properties are explored in relation to congruences and other fundamental operations within the class of ADLs. By defining specific conditions and relations, we establish key properties that distinguish Kernel ideals and coKernel dual ideals, leading to a deeper understanding of their behavior and applications in the context of MS-almost distributive lattices.