| dc.contributor.author |
Saha, Joydip |
|
| dc.contributor.author |
Sengupta, Indranath |
|
| dc.contributor.author |
Tripathi, Gaurab |
|
| dc.coverage.spatial |
United Kingdom |
|
| dc.date.accessioned |
2022-12-19T16:35:28Z |
|
| dc.date.available |
2022-12-19T16:35:28Z |
|
| dc.date.issued |
2022-12 |
|
| dc.identifier.citation |
Saha, Joydip; Sengupta, Indranath and Tripathi, Gaurab, "A note on d-sequences and regular sequences of quadrics", Proceedings - Mathematical Sciences, DOI: 10.1007/s12044-022-00719-x, vol. 132, no. 2, Dec. 2022. |
en_US |
| dc.identifier.issn |
0253-4142 |
|
| dc.identifier.issn |
0973-7685 |
|
| dc.identifier.uri |
https://doi.org/10.1007/s12044-022-00719-x |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/8419 |
|
| dc.description.abstract |
Let K be a field and X, Y denote matrices such that the entries of X are either indeterminates over K or 0, not all zero, and the entries of Y are indeterminates over K which are different from those appearing in X. We consider the ideal I1(XY), which is the ideal generated by the homogeneous polynomials of degree 2 given by the 1×1 minors of the matrix XY. We prove that d-sequences and regular sequences arise naturally as part of generators of I1(XY) for some special cases. We use this information to calculate the equations defining the Rees algebra of I1(XY). |
|
| dc.description.statementofresponsibility |
by Joydip Saha, Indranath Sengupta and Gaurab Tripathi |
|
| dc.format.extent |
vol. 132, no. 2 |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Springer |
en_US |
| dc.subject |
Determinantal ideals |
en_US |
| dc.subject |
D-sequence |
en_US |
| dc.subject |
Rees algebra |
en_US |
| dc.subject |
Gröbner basis |
en_US |
| dc.subject |
Regular sequence |
en_US |
| dc.title |
A note on d-sequences and regular sequences of quadrics |
en_US |
| dc.type |
Journal Paper |
en_US |
| dc.relation.journal |
Proceedings - Mathematical Sciences |
|