On rigid Hermitean lattices, II

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DOI:

https://doi.org/10.4067/S0719-06462018000100065

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.

Keywords

Lattices , semilattices , modular lattices , Hermitean lattices , orthogonal geometry
  • Pages: 65–78
  • Date Published: 2018-10-19
  • Vol. 20 No. 1 (2018)
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Published

2018-10-19

How to Cite

[1]
A. C. de la Maza and R. Moresi, “On rigid Hermitean lattices, II”, CUBO, vol. 20, no. 1, pp. 65–78, Oct. 2018.

Issue

Vol. 20 No. 1 (2018)

Section

Articles