On Kalmbach measurability
Applications of Mathematics, Tome 39 (1994) no. 6, pp. 445-447
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
In this note we show that, for an arbitrary orthomodular lattice $L$, when $\mu $ is a faithful, finite-valued outer measure on $L$, then the Kalmbach measurable elements of $L$ form a Boolean subalgebra of the centre of $L$.
DOI :
10.21136/AM.1994.134270
Classification :
06C15, 28A60
Keywords: Kalmbach measurability; Boolean algebra; orthomodular lattice
Keywords: Kalmbach measurability; Boolean algebra; orthomodular lattice
@article{10_21136_AM_1994_134270,
author = {d'Andrea, A. B. and de Lucia, P. and Wright, J. D. Maitland},
title = {On {Kalmbach} measurability},
journal = {Applications of Mathematics},
pages = {445--447},
publisher = {mathdoc},
volume = {39},
number = {6},
year = {1994},
doi = {10.21136/AM.1994.134270},
mrnumber = {1298732},
zbl = {0815.28004},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134270/}
}
TY - JOUR AU - d'Andrea, A. B. AU - de Lucia, P. AU - Wright, J. D. Maitland TI - On Kalmbach measurability JO - Applications of Mathematics PY - 1994 SP - 445 EP - 447 VL - 39 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134270/ DO - 10.21136/AM.1994.134270 LA - en ID - 10_21136_AM_1994_134270 ER -
%0 Journal Article %A d'Andrea, A. B. %A de Lucia, P. %A Wright, J. D. Maitland %T On Kalmbach measurability %J Applications of Mathematics %D 1994 %P 445-447 %V 39 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134270/ %R 10.21136/AM.1994.134270 %G en %F 10_21136_AM_1994_134270
d'Andrea, A. B.; de Lucia, P.; Wright, J. D. Maitland. On Kalmbach measurability. Applications of Mathematics, Tome 39 (1994) no. 6, pp. 445-447. doi: 10.21136/AM.1994.134270
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