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arXiv · 1710.10183

Cancelling Congruences of Lattices, While Keeping Their Numbers of Filters and Ideals

Claudia Mureşan
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Abstract

In this paper, we study the congruences, prime filters and prime ideals of horizontal sums of bounded lattices, then, through a construction based on horizontal sums and without enforcing the Continuum Hypothesis, we are modifying an example from \cite{eucard} into a solution to the problem we have proposed in the same article: finding a lattice with the cardinalities of the sets of filters, ideals and congruences pairwise distinct.

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Claudia Mureşan. 2017-10-27. Cancelling Congruences of Lattices, While Keeping Their Numbers of Filters and Ideals. https://arxiv.org/abs/1710.10183

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