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QUANTUM LOGIC ASSOCIATED TO FINITE DIMENSIONAL INTERVALS OF MODULAR ORTHOLATTICES

Published online by Cambridge University Press:  29 June 2016

R. GIUNTINI ,
H. FREYTES  and
G. SERGIOLI
R. GIUNTINI
Affiliation:
UNIVERSITÁ DI CAGLIARI VIA IS MIRRIONIS 1, 09123 CAGLIARI, ITALIA E-mail: giuntini@unica.it
H. FREYTES
Affiliation:
DEPARTAMENTO DE MATEMÁTICA UNR-CONICET AV. PELLEGRINI 250 CP 2000, ROSARIO, ARGENTINA E-mail: hfreytes@gmail.com
G. SERGIOLI
Affiliation:
UNIVERSITÁ DI CAGLIARI VIA IS MIRRIONIS 1, 09123 CAGLIARI, ITALIA E-mail: giuseppe.sergioli@gmail.com
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Abstract

In this work we study an abstract formulation of a problem posed by J.M. Dunn, T.J. Hagge et al. about the inclusion of varieties generated by the modular ortholattice of subspaces of ℂn . We shall prove that, this abstract formulation is equivalent to the direct irreducibility for atomic complete modular ortholattices.

Keywords

06Cxx06B20modular ortholatticesdimensiondirect irreducibility

Information

Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 2 , June 2016 , pp. 629 - 640
Copyright
Copyright © The Association for Symbolic Logic 2016 

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References

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