Mathematica Bohemica, Vol. 144, No. 1, pp. 85-97, 2019


On minimal spectrum of multiplication lattice modules

Sachin Ballal, Vilas Kharat

Received August 30, 2017.   Published online June 20, 2018.

Abstract:  We study the minimal prime elements of multiplication lattice module $M$ over a $C$-lattice $L$. Moreover, we topologize the spectrum $\pi(M)$ of minimal prime elements of $M$ and study several properties of it. The compactness of $\pi(M)$ is characterized in several ways. Also, we investigate the interplay between the topological properties of $\pi(M)$ and algebraic properties of $M$.
Keywords:  prime element; mimimal prime element; Zariski topology
Classification MSC:  06D10, 06E10, 06E99, 06F99


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Affiliations:   Sachin Ballal, Vilas Kharat, Department of Mathematics, Savitribai Phule Pune University, Pune-411 007, India, e-mail: ballalshyam@gmail.com, laddoo1@yahoo.com


 
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