The notion of the characteristic of rings and its basic properties are formalized [14], [39], [20]. Classification of prime fields in terms of isomorphisms with appropriate fields (ℚ or ℤ/p) are presented. To facilitate reasonings within the field of rational numbers, values of numerators and denominators of basic operations over rationals are computed.
@article{bwmeta1.element.doi-10_1515_forma-2015-0027,
author = {Christoph Schwarzweller and Artur Korni\l owicz},
title = {Characteristic of Rings. Prime Fields},
journal = {Formalized Mathematics},
volume = {23},
year = {2015},
pages = {333-349},
zbl = {1334.13003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_forma-2015-0027}
}
Christoph Schwarzweller; Artur Korniłowicz. Characteristic of Rings. Prime Fields. Formalized Mathematics, Tome 23 (2015) pp. 333-349. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_forma-2015-0027/
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