Attacking Jacobian Problem Using Resultant Theory
This paper introduces a relation between resultant and the Jacobian determinant by generalizing Sakkalis theorem from two polynomials in two variables to the case of (n) polynomials in (n) variables. This leads us to study the results of the type: , and use this relation to attack...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad, College of Science for Women
2022-04-01
|
| Series: | مجلة بغداد للعلوم |
| Subjects: | |
| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5541 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850059168531087360 |
|---|---|
| author | Alaa Jony Shawki Al-Rashed |
| author_facet | Alaa Jony Shawki Al-Rashed |
| author_sort | Alaa Jony |
| collection | DOAJ |
| description |
This paper introduces a relation between resultant and the Jacobian determinant
by generalizing Sakkalis theorem from two polynomials in two variables to the case of (n) polynomials in (n) variables. This leads us to study the results of the type: , and use this relation to attack the Jacobian problem. The last section shows our contribution to proving the conjecture.
|
| format | Article |
| id | doaj-art-e4926a12f7b8445c828628ae953f17c2 |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2022-04-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-e4926a12f7b8445c828628ae953f17c22025-08-20T02:50:56ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862022-04-0119210.21123/bsj.2022.19.2.0336Attacking Jacobian Problem Using Resultant TheoryAlaa Jony0Shawki Al-Rashed1Department of Mathematics-Faculty of Sciences-Damascus University, Syria.Associate Prof at Arab International University, Acadimic Staff at Department Of Mathematics, Faculty of Science, Damascus University of Syria This paper introduces a relation between resultant and the Jacobian determinant by generalizing Sakkalis theorem from two polynomials in two variables to the case of (n) polynomials in (n) variables. This leads us to study the results of the type: , and use this relation to attack the Jacobian problem. The last section shows our contribution to proving the conjecture. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5541Jacobian conjecture, polynomial map, resultant. |
| spellingShingle | Alaa Jony Shawki Al-Rashed Attacking Jacobian Problem Using Resultant Theory مجلة بغداد للعلوم Jacobian conjecture, polynomial map, resultant. |
| title | Attacking Jacobian Problem Using Resultant Theory |
| title_full | Attacking Jacobian Problem Using Resultant Theory |
| title_fullStr | Attacking Jacobian Problem Using Resultant Theory |
| title_full_unstemmed | Attacking Jacobian Problem Using Resultant Theory |
| title_short | Attacking Jacobian Problem Using Resultant Theory |
| title_sort | attacking jacobian problem using resultant theory |
| topic | Jacobian conjecture, polynomial map, resultant. |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5541 |
| work_keys_str_mv | AT alaajony attackingjacobianproblemusingresultanttheory AT shawkialrashed attackingjacobianproblemusingresultanttheory |