On the sublattice-lattice of a lattice
type: Item
instance of: scholarly article
title: On the sublattice-lattice of a lattice
zbMATH Open document ID: 0544.06004
DOI: 10.1007/BF01191493
author: C. C. Chen
author: K. M. Koh
author: K. L. Teo
published in: Algebra Universalis
publication date: 1984-01-01T00:00:00Z
review text: A property P of algebras in any variety V might be called S-determined if when A has P and A, A' have isomorphic lattices of subalgebras. A' has P; S-sharp if the same conditions imply \(A'=F(A)\) for some automorphism F of V. The authors show that being a pseudocomplemented lattice of finite length is S-determined, and produce two new S-sharp properties of lattices.
Mathematics Subject Classification ID: 06B05
Mathematics Subject Classification ID: 06D15
zbMATH DE Number: 3865345
zbMATH Keywords: lattices of subalgebras
zbMATH Keywords: pseudocomplemented lattice of finite length
reviewed by: J. R. Isbell
MaRDI profile type: Publication
cites work: Q4770431
cites work: Projective images of modular (distributive, complemented) lattices are modular (distributive, complemented)
full work available at URL: https://doi.org/10.1007/bf01191493
OpenAlex ID: W2016373460
description: scientific article; zbMATH DE number 3865345