Varieties of modular ortholattices
type: Item
instance of: scholarly article
title: Varieties of modular ortholattices
zbMATH Open document ID: 0618.06004
DOI: 10.1007/BF00340782
published in: Order
publication date: 1987-01-01T00:00:00Z
review text: The lattice L of varieties of modular ortholattices contains the countable chain, MOn \((n<\omega)\), of varieties generated by Chinese lanterns over n elements. Denote by MO\(\omega\) a least upper bound of MOn's in L. The author proves that every variety in L distinct from all MOn's contains MO\(\omega\). The method he uses is essentially ring theoretic and seems to admit further application in the realm of ortholattices. (It should be noted that the result brings a partial answer to a conjecture of \textit{G. Bruns} [Houston J. Math. 9, 1-7 (1983; Zbl 0518.06007)].)
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 06B20
Mathematics Subject Classification ID: 08B15
Mathematics Subject Classification ID: 16W10
zbMATH DE Number: 4002146
zbMATH Keywords: varieties of modular ortholattices
author: Micheale Susan Roddy
reviewed by: Pavel Pták
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4002146