Exotic integral witt equivalence of algebraic number fields

Identifier

etd-0711102-133722

Author

Changheon Kang, Louisiana State University and Agricultural and Mechanical CollegeFollow

Degree

Doctor of Philosophy (PhD)

Department

Mathematics

Document Type

Dissertation

Abstract

Two algebraic number fields K and L are said to be exotically integrally Witt equivalent if there is a ring isomorphism W(O_K) ~ W(O_L) between the Witt rings of the number rings O_K and O_L of K and L, respectively. This dissertation studies exotic integral Witt equivalence for totally complex number fields and gives necessary and sufficient conditions for exotic integral equivalence in two special classes of totally complex number fields.

Date

2002

Document Availability at the Time of Submission

Release the entire work immediately for access worldwide.

Recommended Citation

Kang, Changheon, "Exotic integral witt equivalence of algebraic number fields" (2002). LSU Doctoral Dissertations. 3020.
https://repository.lsu.edu/gradschool_dissertations/3020

Committee Chair

Robert Perlis

DOI

10.31390/gradschool_dissertations.3020