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Math521a exam3a sol

# Math521a exam3a sol - NAME Abstract Algebra Math 52\$A...

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Unformatted text preview: NAME: Abstract Algebra Math 52\$A Michael E. O’Suiiivan Third Exam Friday Nov. 30, 2007 D0 ail problems. Please Show your werk! Good luck. 1. (38 pts.) Let I and J be ideals in a ring R (commutative with identity). Prove that I F] J is also an ideal. 3. (60 pts.) Let a = 24 and: b = 40. (a) In Z, What are the elements of (on)1 the ideai generated by a? <3; x .- gl-évgggw , : g (b) In Z, exgress the ideal (a) R (b) in its simplest form. 4:: 3 Eu QM} ‘ x f § ,9“; 9%“ i, {'9 {jg-kw} if: X; 35% pm“. a E gig; hi. 3 /\ \$12» \J 4:; \f ii f\ ‘22:» w a! g? A 3M”! (3“; V 5a. 9’ ‘ x“ "\ A :1 m i x r x ‘x I “u Ci“) '5? ’* W ‘”"“‘ J W x? 2% x,“ K g, L, (,3 Q g ...
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Math521a exam3a sol - NAME Abstract Algebra Math 52\$A...

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