Relative integral basis for algebraic number fields
At first conditions are given for existence of a relative integral basis for OK≅Okn−1⊕I with [K;k]=n. Then the constrtiction of the ideal I in OK≅Okn−1⊕I is given for proof of existence of a relative integral basis for OK4(m1,m2)/Ok(m3). Finally existence and construction of the relative integral b...
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171286000121 |
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| _version_ | 1832545442720645120 |
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| author | Mohmood Haghighi |
| author_facet | Mohmood Haghighi |
| author_sort | Mohmood Haghighi |
| collection | DOAJ |
| description | At first conditions are given for existence of a relative integral basis for OK≅Okn−1⊕I with [K;k]=n. Then the constrtiction of the ideal I in OK≅Okn−1⊕I is given for proof of existence of a relative integral basis for OK4(m1,m2)/Ok(m3). Finally existence and construction of the relative integral basis for OK6(n3,−3)/Ok3(n3),OK6(n3,−3)/Ok2(−3) for some values of n are given. |
| format | Article |
| id | doaj-art-6f631650068d4ab79afe46eea62d0e8f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6f631650068d4ab79afe46eea62d0e8f2025-02-03T07:25:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-01919710410.1155/S0161171286000121Relative integral basis for algebraic number fieldsMohmood Haghighi0Department of Computer Science, Bradley University, Peoria 61625, Illinois, USAAt first conditions are given for existence of a relative integral basis for OK≅Okn−1⊕I with [K;k]=n. Then the constrtiction of the ideal I in OK≅Okn−1⊕I is given for proof of existence of a relative integral basis for OK4(m1,m2)/Ok(m3). Finally existence and construction of the relative integral basis for OK6(n3,−3)/Ok3(n3),OK6(n3,−3)/Ok2(−3) for some values of n are given.http://dx.doi.org/10.1155/S0161171286000121finitely generated modulesring of integersidealsrelative discriminantclass numbers. |
| spellingShingle | Mohmood Haghighi Relative integral basis for algebraic number fields International Journal of Mathematics and Mathematical Sciences finitely generated modules ring of integers ideals relative discriminant class numbers. |
| title | Relative integral basis for algebraic number fields |
| title_full | Relative integral basis for algebraic number fields |
| title_fullStr | Relative integral basis for algebraic number fields |
| title_full_unstemmed | Relative integral basis for algebraic number fields |
| title_short | Relative integral basis for algebraic number fields |
| title_sort | relative integral basis for algebraic number fields |
| topic | finitely generated modules ring of integers ideals relative discriminant class numbers. |
| url | http://dx.doi.org/10.1155/S0161171286000121 |
| work_keys_str_mv | AT mohmoodhaghighi relativeintegralbasisforalgebraicnumberfields |