Ultracontact algebras and stack systems
Luca Carai, Ivo D\"untsch, Rafa{\l} Gruszczy\'nski, Anna Laura Suarez
TL;DR
This paper introduces ultracontact algebras, a new class of structures that generalize contact relations on Boolean algebras, aiming to unify different approaches.
Contribution
It defines ultracontact algebras and explores their properties, providing a unifying framework for contact relations in Boolean algebra theory.
Findings
Ultracontact algebras generalize existing contact structures.
The paper establishes foundational properties of ultracontact algebras.
Connections to other algebraic structures are discussed.
Abstract
We study the class of structures that, in a way, generalize various approaches to the contact relation on Boolean algebras.
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