An Algebraic Framework for Boolean Vector Spaces Over Almost Distributive Lattices

Ramesh Sirisetti, Ravikumar Bandaru and Rahul Shukla

Journal of Mathematics, 2026, vol. 2026, 1-6

Abstract: This paper establishes a systematic study of Boolean vector spaces over relatively complemented almost distributive lattices. Motivated by the classical theory of Boolean vector spaces, we generalize these notions to a broader algebraic framework in which lattice operations replace traditional scalar multiplication. The work unifies and extends earlier approaches to distributive lattice theory, Boolean algebras, and vector lattice theory. We construct Boolean subspaces and establish projection operators.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9450447

DOI: 10.1155/jom/9450447

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