| dc.contributor.author |
Balu, Ambhore Siddhi |
|
| dc.contributor.author |
Sengupta, Indranath |
|
| dc.coverage.spatial |
Singapore |
|
| dc.date.accessioned |
2024-09-04T10:52:35Z |
|
| dc.date.available |
2024-09-04T10:52:35Z |
|
| dc.date.issued |
2024-09 |
|
| dc.identifier.citation |
Balu, Ambhore Siddhi and Sengupta, Indranath, "Colon structure of associated primes of monomial ideals", Algebra Colloquium, DOI: 10.1142/S1005386724000336, vol. 31, no. 3, pp. 441-450, Sep. 2024. |
|
| dc.identifier.issn |
1005-3867 |
|
| dc.identifier.issn |
0219-1733 |
|
| dc.identifier.uri |
https://doi.org/10.1142/S1005386724000336 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/10388 |
|
| dc.description.abstract |
We find an explicit expression of the associated primes of monomial ideals as a colon by an element
v, using the unique irredundant irreducible decomposition whose irreducible components are monomial ideals. An algorithm to compute v is given using Macaulay2. For squarefree monomial ideals the problem is related to the combinatorics of the underlying clutter or graph. For ideals of Borel type, the monomial v takes a simpler form, and we classify when v is unique. |
|
| dc.description.statementofresponsibility |
by Ambhore Siddhi Balu and Indranath Sengupta |
|
| dc.format.extent |
vol. 31, no. 3, pp. 441-450 |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
World Scientific Publishing |
|
| dc.subject |
Monomial ideals |
|
| dc.subject |
Associated primes |
|
| dc.subject |
Colon ideals |
|
| dc.title |
Colon structure of associated primes of monomial ideals |
|
| dc.type |
Article |
|
| dc.relation.journal |
Algebra Colloquium |
|