Multivariable dimension polynomials and new invariants of differential field extensions
We introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin's theorem on differential dimension polynomial and find new differential birational invariants of a finit...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006767 |
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| _version_ | 1832551873745256448 |
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| author | Alexander B. Levin |
| author_facet | Alexander B. Levin |
| author_sort | Alexander B. Levin |
| collection | DOAJ |
| description | We introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin's theorem on differential dimension polynomial and find new differential birational invariants of a finitely generated differential field extension. |
| format | Article |
| id | doaj-art-58d61bc5d4d04f39918add03f33afee1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-58d61bc5d4d04f39918add03f33afee12025-02-03T06:00:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0127420121410.1155/S0161171201006767Multivariable dimension polynomials and new invariants of differential field extensionsAlexander B. Levin0Department of Mathematics, The Catholic University of America, Washington 20064, DC, USAWe introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin's theorem on differential dimension polynomial and find new differential birational invariants of a finitely generated differential field extension.http://dx.doi.org/10.1155/S0161171201006767 |
| spellingShingle | Alexander B. Levin Multivariable dimension polynomials and new invariants of differential field extensions International Journal of Mathematics and Mathematical Sciences |
| title | Multivariable dimension polynomials and new invariants of differential field extensions |
| title_full | Multivariable dimension polynomials and new invariants of differential field extensions |
| title_fullStr | Multivariable dimension polynomials and new invariants of differential field extensions |
| title_full_unstemmed | Multivariable dimension polynomials and new invariants of differential field extensions |
| title_short | Multivariable dimension polynomials and new invariants of differential field extensions |
| title_sort | multivariable dimension polynomials and new invariants of differential field extensions |
| url | http://dx.doi.org/10.1155/S0161171201006767 |
| work_keys_str_mv | AT alexanderblevin multivariabledimensionpolynomialsandnewinvariantsofdifferentialfieldextensions |