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(3) Let A be commutative ring with identity, then A has just trivial ideals iff A is ....... O integral domain

(3) Let A be commutative ring with identity, then A has just trivial ideals iff A is ....... O integral domain

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.4: Maximal Ideals (optional)
Problem 26E: . a. Let, and . Show that and are only ideals of and hence is a maximal ideal. b. Show...
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(3) Let A be commutative ring with identity, then A has just trivial ideals iff A is .... ✰✰✰✰✰✰✰ integral domain field not semi simple ring (4) If (R,+,.) is integral domain and Char(R) is non-zero and not odd, then Char( R)=.......... (5) I is maximal ideal of ring R if and only if R = (a, I) for any...... Oa in R a in I a in R-{I}
Transcribed Image Text:(3) Let A be commutative ring with identity, then A has just trivial ideals iff A is .... ✰✰✰✰✰✰✰ integral domain field not semi simple ring (4) If (R,+,.) is integral domain and Char(R) is non-zero and not odd, then Char( R)=.......... (5) I is maximal ideal of ring R if and only if R = (a, I) for any...... Oa in R a in I a in R-{I}
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