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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, ITALIAE-mail:[email protected]
H. FREYTES
Affiliation:
DEPARTAMENTO DE MATEMÁTICA UNR-CONICET AV. PELLEGRINI 250 CP 2000, ROSARIO, ARGENTINAE-mail:[email protected]
G. SERGIOLI
Affiliation:
UNIVERSITÁ DI CAGLIARI VIA IS MIRRIONIS 1, 09123 CAGLIARI, ITALIAE-mail:[email protected]
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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
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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