Сильно алгебраически замкнутая решетка полузданий

We introduce the notion of q′-compactness for a ranked lattice whose flags form a chamber system for Sn-semibuildings and find the conditions for the lattice to be strongly algebraically closed. We also study the relationships between semibuildings and Faigle geometries with the lattice of closed sets of Q

Publication Details

Journal
SibFU Digital Repository (Siberian Federal University)
Published
2025-10-21
Primary Topic
Advanced Topology and Set Theory
Type
article
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article

Сильно алгебраически замкнутая решетка полузданий

SibFU Digital Repository (Siberian Federal University)
Advanced Topology and Set Theory
article

Сильно алгебраически замкнутая решетка полузданий

article en

Abstract

We introduce the notion of q′-compactness for a ranked lattice whose flags form a chamber system for Sn-semibuildings and find the conditions for the lattice to be strongly algebraically closed. We also study the relationships between semibuildings and Faigle geometries with the lattice of closed sets of Q

SibFU Digital Repository (Siberian Federal University)
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Сильно алгебраически замкнутая решетка полузданий · SibFU Digital Repository (Siberian Federal University) (2025) | TGRS Research Map | TGRS