Computation of Hilbert sequence for composite quadratic extensions using different type of primes in Q
First, we will give all necessary definitions and theorems. Then the definition of a Hilbert sequence by using a Galois group is introduced. Then by using the Hilbert sequence, we will build tower fields for extension K/k, where K=k(d1,d2) and k=Q for different primes in Q.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000070 |
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| _version_ | 1850209047456776192 |
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| author | M. Haghighi J. Miller |
| author_facet | M. Haghighi J. Miller |
| author_sort | M. Haghighi |
| collection | DOAJ |
| description | First, we will give all necessary definitions and theorems. Then the definition of a Hilbert
sequence by using a Galois group is introduced. Then by using the Hilbert sequence, we will build tower
fields for extension K/k, where K=k(d1,d2) and k=Q for different primes in Q. |
| format | Article |
| id | doaj-art-97d1394722ae4fcbbb83f7ee31d3b4b8 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-97d1394722ae4fcbbb83f7ee31d3b4b82025-08-20T02:10:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-01201434610.1155/S0161171297000070Computation of Hilbert sequence for composite quadratic extensions using different type of primes in QM. Haghighi0J. Miller1Department of Computer Science, Bradley University, Peoria 61625, IL, USADepartment of Computer Science, Bradley University, Peoria 61625, IL, USAFirst, we will give all necessary definitions and theorems. Then the definition of a Hilbert sequence by using a Galois group is introduced. Then by using the Hilbert sequence, we will build tower fields for extension K/k, where K=k(d1,d2) and k=Q for different primes in Q.http://dx.doi.org/10.1155/S0161171297000070composite quadratic extensionHilbert sequence. |
| spellingShingle | M. Haghighi J. Miller Computation of Hilbert sequence for composite quadratic extensions using different type of primes in Q International Journal of Mathematics and Mathematical Sciences composite quadratic extension Hilbert sequence. |
| title | Computation of Hilbert sequence for composite quadratic extensions using different type of primes in Q |
| title_full | Computation of Hilbert sequence for composite quadratic extensions using different type of primes in Q |
| title_fullStr | Computation of Hilbert sequence for composite quadratic extensions using different type of primes in Q |
| title_full_unstemmed | Computation of Hilbert sequence for composite quadratic extensions using different type of primes in Q |
| title_short | Computation of Hilbert sequence for composite quadratic extensions using different type of primes in Q |
| title_sort | computation of hilbert sequence for composite quadratic extensions using different type of primes in q |
| topic | composite quadratic extension Hilbert sequence. |
| url | http://dx.doi.org/10.1155/S0161171297000070 |
| work_keys_str_mv | AT mhaghighi computationofhilbertsequenceforcompositequadraticextensionsusingdifferenttypeofprimesinq AT jmiller computationofhilbertsequenceforcompositequadraticextensionsusingdifferenttypeofprimesinq |