Characteristic of Rings. Prime Fields

Christoph Schwarzweller; Artur Korniłowicz

doi:10.1515/forma-2015-0027

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Characteristic of Rings. Prime Fields

Formalized Mathematics

Volume 23 (2015): Issue 4 (December 2015)

By: Christoph Schwarzweller and Artur Korniłowicz

Open Access

|Mar 2016

Abstract

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.

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Articles in this issue

DOI: https://doi.org/10.1515/forma-2015-0027 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 333 - 349

Submitted on: Aug 14, 2015

Published on: Mar 25, 2016

Published by: University of Białystok

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

13A35,

12E05,

03B35

Related subjects:

Mathematics,

Logic and set theory,

Computer sciences,

Artificial intelligence

© 2016 Christoph Schwarzweller, Artur Korniłowicz, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.

Volume 23 (2015): Issue 4 (December 2015)