Irreducible orthomodular lattices which are simple
type: Item
instance of: scholarly article
title: Irreducible orthomodular lattices which are simple
zbMATH Open document ID: 0767.06008
DOI: 10.1007/BF01190781
author: John Harding
published in: Algebra Universalis
publication date: 1993-05-16T00:00:00Z
review text: It is shown that an orthomodular lattice \(L\), in a variety generated by orthomodular lattices of height at most \(n\in\mathbb{N}\), is directly irreducible iff \(L\) is simple. The assumption cannot be weakened to generators of finite height.
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 06B20
zbMATH DE Number: 165811
zbMATH Keywords: orthomodular lattice
zbMATH Keywords: directly irreducible
zbMATH Keywords: simple
reviewed by: Gudrun Kalmbach
MaRDI profile type: Publication
cites work: Completions of orthomodular lattices
cites work: Q3934450
cites work: The structure of relatively complemented lattices
cites work: Algebras Whose Congruence Lattices are Distributive.
cites work: Q4750696
full work available at URL: https://doi.org/10.1007/bf01190781
OpenAlex ID: W1981336203
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description: scientific article; zbMATH DE number 165811