First Order Theory of Complete Stonean Algebras (Boolean-Valued Real and Complex Numbers)
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 385-392
Voir la notice de l'article provenant de la source Cambridge
We axiomatize the theory of real and complex numbers in Boolean-valued models of set theory, and prove that every Horn sentence true in the complex numbers is true in any complete Stonean algebra, and provable from its axioms.
Jech, Thomas. First Order Theory of Complete Stonean Algebras (Boolean-Valued Real and Complex Numbers). Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 385-392. doi: 10.4153/CMB-1987-057-7
@article{10_4153_CMB_1987_057_7,
author = {Jech, Thomas},
title = {First {Order} {Theory} of {Complete} {Stonean} {Algebras} {(Boolean-Valued} {Real} and {Complex} {Numbers)}},
journal = {Canadian mathematical bulletin},
pages = {385--392},
year = {1987},
volume = {30},
number = {4},
doi = {10.4153/CMB-1987-057-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-057-7/}
}
TY - JOUR AU - Jech, Thomas TI - First Order Theory of Complete Stonean Algebras (Boolean-Valued Real and Complex Numbers) JO - Canadian mathematical bulletin PY - 1987 SP - 385 EP - 392 VL - 30 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-057-7/ DO - 10.4153/CMB-1987-057-7 ID - 10_4153_CMB_1987_057_7 ER -
%0 Journal Article %A Jech, Thomas %T First Order Theory of Complete Stonean Algebras (Boolean-Valued Real and Complex Numbers) %J Canadian mathematical bulletin %D 1987 %P 385-392 %V 30 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-057-7/ %R 10.4153/CMB-1987-057-7 %F 10_4153_CMB_1987_057_7
Cité par Sources :