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math.AC2022
Distinguished classes of ideal spaces and their topological properties
Carmelo A. Finocchiaro, Amartya Goswami, Dario Spirito
We consider the set of all the ideals of a ring, endowed with the coarse lower topology. The aim of this paper is to study the topological properties of distinguished subspaces of…
math.RA2022
Multiplicative lattices: maximal implies prime and related questions
Alberto Facchini, Carmelo Antonio Finocchiaro
The goal of this paper is to deepen the study of multiplicative lattices in the sense of Facchini, Finocchiaro and Janelidze. We provide a sort of Prime Ideal Principle that guaran…