Abstract:
This project explores the newly defined equational class of algebra known as MS-almost
distributive lattice (MS-ADL), which serves as a unifying abstraction of De Morgan ADLs
and Stone ADLs. We demonstrate that MS-ADLs encompass the class of MS-algebras,effectively extending many properties of MS-algebras to MS-ADLs. The primary objective ofthis project is to enhance the understanding of MS-ADLs by investigating their fundamental
properties. Additionally, we present and prove several essential theorems, lemmas, andcorollaries related to MS-ADLs, contributing to the theoretical framework surrounding thisalgebraic structure.