| dc.contributor.author |
Saha, Joydip |
|
| dc.contributor.author |
Sengupta, Indranath |
|
| dc.contributor.author |
Tripathi, Gaurab |
|
| dc.coverage.spatial |
India |
|
| dc.date.accessioned |
2023-03-31T13:48:20Z |
|
| dc.date.available |
2023-03-31T13:48:20Z |
|
| dc.date.issued |
2023-03 |
|
| dc.identifier.citation |
Saha, Joydip; Sengupta, Indranath and Tripathi, Gaurab, "Transversal intersection and sum of polynomial ideals", Journal of the Ramanujan Mathematical Society, vol. 38, no. 1, pp. 33-46, Mar. 2023. |
|
| dc.identifier.issn |
2320-3110 |
|
| dc.identifier.uri |
https://tinyurl.com/mr2b7a6t |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/8701 |
|
| dc.description.abstract |
In this paper we derive some conditions for transversal intersection of polynomial ideals and present some examples. Finally, as an application of the results proved, we compute the Betti numbers of ideals of the form I1(XY) +J, where X and Y are some generic or generic symmetric matrices and J is the ideal generated by the 2×2 minors of the matrix consisting of any two rows of X. |
|
| dc.description.statementofresponsibility |
by Joydip Saha, Indranath Sengupta and Gaurab Tripathi |
|
| dc.format.extent |
vol. 38, no. 1, pp. 33-46 |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
RMS Publications |
|
| dc.subject |
Transversal intersection |
|
| dc.subject |
Polynomial ideals |
|
| dc.subject |
Betti numbers |
|
| dc.subject |
Symmetric matrices |
|
| dc.subject |
Matrix |
|
| dc.title |
Transversal intersection and sum of polynomial ideals |
|
| dc.type |
Journal Paper |
|
| dc.relation.journal |
Journal of the Ramanujan Mathematical Society |
|