|%7E . ?M M -5. Suppose that (R, +,.) is an infinite commutative ring and it has no nontrivialideals, then R forms a(a) field(b) integral domain(c) simple ring(d) No Choice(a) O(b)(c) O(d)6. Suppose that (F, +,.) is a field and x e F - {0}, then the ideal (x) .. .(a) = F(b) is a non-trivial ideal of F(c) (a) and (b)(d) No Choice(a) O(b) O(c) O(d) O

5. Suppose that (R, +,.) is an infinite commutative ring and it has no nontrivial ideals, then R forms a .... (a) field (b) integral domain (c) simple ring (d) No Choice (a) O (b) O (c) O (d) 6. Suppose that (F, +,.) is a field and x eF - {0}, then the ideal (x) (a) = F (b) is a non-trivial ideal of F (c) (a) and (b) (d) No Choice

5. Suppose that (R, +,.) is an infinite commutative ring and it has no nontrivial ideals, then R forms a .... (a) field (b) integral domain (c) simple ring (d) No Choice (a) O (b) O (c) O (d) 6. Suppose that (F, +,.) is a field and x eF - {0}, then the ideal (x) (a) = F (b) is a non-trivial ideal of F (c) (a) and (b) (d) No Choice

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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