Characteristic of Rings. Prime Fields

Schwarzweller, Christoph; Korniłowicz, Artur

doi:10.1515/forma-2015-0027

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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Characteristic of Rings. Prime Fields

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