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On minimal spectrum of multiplication lattice modules

Sachin Ballal; Vilas Kharat — 2019

Mathematica Bohemica

We study the minimal prime elements of multiplication lattice module $M$ over a $C$ -lattice $L$ . Moreover, we topologize the spectrum $π (M)$ of minimal prime elements of $M$ and study several properties of it. The compactness of $π (M)$ is characterized in several ways. Also, we investigate the interplay between the topological properties of $π (M)$ and algebraic properties of $M$ .

On forbidden configuration of pseudomodular lattices

Manoj Dhake; Sachin Ballal; Vilas Kharat; Rupesh S. Shewale — 2025

Mathematica Bohemica

We characterize the pseudomodular lattices by means of a forbidden configuration.

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