On rigid Hermitean lattices, II

On rigid Hermitean lattices, II

Abstract We study the indexed Hermitean lattice of type 0 generated by a single element a subjected to the relation a ≤ b⊥ ∧ bb⊥ = 0. We prove that it is finite, provided that two crucial indices are finite. We show that index relations imply algebraic relatio...

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Autores principales: Maza,Ana Cecilia de la, Moresi,Remo
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2018
Materias:
Lattices
semilattices
modular lattices
Hermitean lattices
orthogonal geometry
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000100065
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spelling oai:scielo:S0719-064620180001000652018-10-16On rigid Hermitean lattices, IIMaza,Ana Cecilia de laMoresi,Remo Lattices semilattices modular lattices Hermitean lattices orthogonal geometry Abstract We study the indexed Hermitean lattice of type 0 generated by a single element a subjected to the relation a ≤ b⊥ ∧ bb⊥ = 0. We prove that it is finite, provided that two crucial indices are finite. We show that index relations imply algebraic relations and describe the lattice by means of its subdirectly irreducible factors. We finally use the results to confirm a conjecture appeared in 2000.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.20 n.1 20182018-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000100065en10.4067/S0719-06462018000100065
institution Scielo Chile
collection Scielo Chile
language English
topic Lattices
semilattices
modular lattices
Hermitean lattices
orthogonal geometry
spellingShingle Lattices
semilattices
modular lattices
Hermitean lattices
orthogonal geometry
Maza,Ana Cecilia de la
Moresi,Remo
On rigid Hermitean lattices, II
description Abstract We study the indexed Hermitean lattice of type 0 generated by a single element a subjected to the relation a ≤ b⊥ ∧ bb⊥ = 0. We prove that it is finite, provided that two crucial indices are finite. We show that index relations imply algebraic relations and describe the lattice by means of its subdirectly irreducible factors. We finally use the results to confirm a conjecture appeared in 2000.
author Maza,Ana Cecilia de la
Moresi,Remo
author_facet Maza,Ana Cecilia de la
Moresi,Remo
author_sort Maza,Ana Cecilia de la
title On rigid Hermitean lattices, II
title_short On rigid Hermitean lattices, II
title_full On rigid Hermitean lattices, II
title_fullStr On rigid Hermitean lattices, II
title_full_unstemmed On rigid Hermitean lattices, II
title_sort on rigid hermitean lattices, ii
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2018
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000100065
work_keys_str_mv AT mazaanaceciliadela onrigidhermiteanlatticesii
AT moresiremo onrigidhermiteanlatticesii
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