4 The correspondence ø:x > 5x from Z, to Z, is a ring homomorphism. a) True b) False O a) True O b) Fa lse 5- If D is an integral domain, then D[x] may or may not an integral domain. a) True b) False O a) True b) Ea lee

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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part 4 5 6 true or false
4 The correspondence ø:x > 5x from Z, to Z, is a ring homomorphism.
a) True
b) False
O a) True
O b) Fa lse
5- If D is an integral domain, then D[x] may or may not an integral domain.
a) True
b) False
O a) True
O b) Fa lse
6- If fis a ring homomorphism from Z, to Z, such that f(1) = a, then a' = a
a) True
b) False
Transcribed Image Text:4 The correspondence ø:x > 5x from Z, to Z, is a ring homomorphism. a) True b) False O a) True O b) Fa lse 5- If D is an integral domain, then D[x] may or may not an integral domain. a) True b) False O a) True O b) Fa lse 6- If fis a ring homomorphism from Z, to Z, such that f(1) = a, then a' = a a) True b) False
2- (e,) =
a) e
b) e
c) e
d) None
O a)
O b)
O c)
O d)
3 ponts
3- o is
a) Homomorphism.
b) Isomorphism
c) Automorphism
d) None
O a)
O b)
O d)
3 points
4 The correspondence ø:x> 5x from Z, to Z, is a ring homomorphism.
a) True
b) False
O a) True
O b) False
3 points
5- If D is an integral domain, then Đ(x] may or may not an integral domain.
a) True
b) False
O a) True
b) False
3роnts
Transcribed Image Text:2- (e,) = a) e b) e c) e d) None O a) O b) O c) O d) 3 ponts 3- o is a) Homomorphism. b) Isomorphism c) Automorphism d) None O a) O b) O d) 3 points 4 The correspondence ø:x> 5x from Z, to Z, is a ring homomorphism. a) True b) False O a) True O b) False 3 points 5- If D is an integral domain, then Đ(x] may or may not an integral domain. a) True b) False O a) True b) False 3роnts
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