A NOTE ON COMPLEMENTS IN A LATTICE
K. P., S. Tapatee, SRIDHARA K. B, KEDUKODI B.S, HARIKRISHNAN P.K · Global and Stochastic Analysis · 2025
The concept of modular lattices naturally exhibit the links between the theoretical aspects of discrete structures and corresponding applications.In this paper, we consider the complements in a modular lattice with finite Goldie dimension (in short, F GD).We prove several properties and characterizations that involve θ-complement, θ-closed and relative θ-complemented, weak θ-complemented, etc in a lattice.We provide the necessary illustrations to justify the notions and generalizations in this paper.