On Syzygy Modules over Laurent Polynomial Rings
In this paper, we present a dynamical method for computing the syzygy module of multivariate Laurent polynomials with coefficients in a Dedekind ring (with zero divisors) by reducing the computation over Laurent polynomial rings to calculations over a polynomial ring via an appropriate isomorphism.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/5803914 |
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| _version_ | 1832553922499182592 |
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| author | Morou Amidou Ousmane Moussa Tessa |
| author_facet | Morou Amidou Ousmane Moussa Tessa |
| author_sort | Morou Amidou |
| collection | DOAJ |
| description | In this paper, we present a dynamical method for computing the syzygy module of multivariate Laurent polynomials with coefficients in a Dedekind ring (with zero divisors) by reducing the computation over Laurent polynomial rings to calculations over a polynomial ring via an appropriate isomorphism. |
| format | Article |
| id | doaj-art-0cf7477a3ea54c449d79ead9a4b8cd74 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0cf7477a3ea54c449d79ead9a4b8cd742025-02-03T05:52:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/58039145803914On Syzygy Modules over Laurent Polynomial RingsMorou Amidou0Ousmane Moussa Tessa1Institut de Recherche sur l’Enseignement des Mathématiques, Abdou Moumouni University, P.O. Box 10896, Niamey, NigerDepartment of Mathematics and Computer Science, Abdou Moumouni University, P.O. Box 10662, Niamey, NigerIn this paper, we present a dynamical method for computing the syzygy module of multivariate Laurent polynomials with coefficients in a Dedekind ring (with zero divisors) by reducing the computation over Laurent polynomial rings to calculations over a polynomial ring via an appropriate isomorphism.http://dx.doi.org/10.1155/2020/5803914 |
| spellingShingle | Morou Amidou Ousmane Moussa Tessa On Syzygy Modules over Laurent Polynomial Rings International Journal of Mathematics and Mathematical Sciences |
| title | On Syzygy Modules over Laurent Polynomial Rings |
| title_full | On Syzygy Modules over Laurent Polynomial Rings |
| title_fullStr | On Syzygy Modules over Laurent Polynomial Rings |
| title_full_unstemmed | On Syzygy Modules over Laurent Polynomial Rings |
| title_short | On Syzygy Modules over Laurent Polynomial Rings |
| title_sort | on syzygy modules over laurent polynomial rings |
| url | http://dx.doi.org/10.1155/2020/5803914 |
| work_keys_str_mv | AT morouamidou onsyzygymodulesoverlaurentpolynomialrings AT ousmanemoussatessa onsyzygymodulesoverlaurentpolynomialrings |