i need the answer quickly @イイ全 |(1Let (S, +,) be a subfield of the field (F, +;), then (S, +,) isa) integral domainb) fieldc) Division ringd) all previous choicesc)d)b)a)Consider the ring (Z,,+p.p) with prime module p. Thena) (Zp, +pip) is integral domainb) ([0), +pip) is fieldc) (Z,, +pip)is a fieldd) all previous choicesd) Oc)b)a)

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Answered: Let (S, +,) be a subfield of the field…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 3E: Consider the set S={[0],[2],[4],[6],[8],[10],[12],[14],[16]}18, with addition and multiplication as...

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Let (S, +,) be a subfield of the field (F, +,), then (S, +,) is a) integral domain b) field c) Division ring d) all previous choices