Quantum Boolean algebras
Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 106-143
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We introduce quantum Boolean algebras which are the analogue of the Weyl algebras for Boolean affine spaces. We study quantum Boolean algebras from the logical and the set theoretical viewpoints.
Keywords:
Boolean algebras, Weyl algebras, quantum logic.
@article{ADM_2017_24_1_a7,
author = {Rafael D{\'\i}az},
title = {Quantum {Boolean} algebras},
journal = {Algebra and discrete mathematics},
pages = {106--143},
publisher = {mathdoc},
volume = {24},
number = {1},
year = {2017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2017_24_1_a7/}
}
Rafael Díaz. Quantum Boolean algebras. Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 106-143. http://geodesic.mathdoc.fr/item/ADM_2017_24_1_a7/