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Unformatted text preview: Name : Surname : (5) Let A , B be felds and let C be a division ring such that A ⊆ B ⊆ C , so that C is a vector space over A and over B , and B is a vector space over A . Suppose that dim A B = s ∈ N and dim B C = r ∈ N . Is it true that dim A C = rs ? (20 points) (6) Let K , E be felds and let D be an integral domain such that K ⊆ D ⊆ E . IF E is algebraic over K , does it necessarily Follow that D is a feld? (20 points)...
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This note was uploaded on 11/08/2011 for the course MATH 331 taught by Professor Talinbudak during the Spring '11 term at Boğaziçi University.
 Spring '11
 talinbudak
 Math

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