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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 the lattice of additive hereditary properties of finite graphs

Ján Jakubík (2002)

Discussiones Mathematicae - General Algebra and Applications

In this paper it is proved that the lattice of additive hereditary properties of finite graphs is completely distributive and that it does not satisfy the Jordan-Dedekind condition for infinite chains.

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