A note on squarefree monomial ideals and matroid ports
A matroid port is a clutter determined by the circuits of a matroid that contain a fixed point. A monomial ideal associated to a (binary) matroid port can be characterized by using its minimal generators and its minimal prime ideals. In this note we point out this characterization and we demonstrate...
Збережено в:
| Дата: | 2026 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2026
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2331 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1861680840614871040 |
|---|---|
| author | Martí-Farré, Jaume |
| author_facet | Martí-Farré, Jaume |
| author_sort | Martí-Farré, Jaume |
| baseUrl_str | https://admjournal.luguniv.edu.ua/index.php/adm/oai |
| collection | OJS |
| datestamp_date | 2026-04-05T09:02:49Z |
| description | A matroid port is a clutter determined by the circuits of a matroid that contain a fixed point. A monomial ideal associated to a (binary) matroid port can be characterized by using its minimal generators and its minimal prime ideals. In this note we point out this characterization and we demonstrate that any full-supported squarefree monomial ideal is the intersection of finitely many ideals associated to matroid ports. In the binary case, the matroid port decomposition is related to the irredundant primary decomposition of the ideal. |
| doi_str_mv | 10.12958/adm2331 |
| first_indexed | 2026-04-06T01:00:02Z |
| format | Article |
| id | admjournalluguniveduua-article-2331 |
| institution | Algebra and Discrete Mathematics |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-04-06T01:00:02Z |
| publishDate | 2026 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-23312026-04-05T09:02:49Z A note on squarefree monomial ideals and matroid ports Martí-Farré, Jaume monomial ideal, matroid port, primary decomposition 13C99, 05B99 A matroid port is a clutter determined by the circuits of a matroid that contain a fixed point. A monomial ideal associated to a (binary) matroid port can be characterized by using its minimal generators and its minimal prime ideals. In this note we point out this characterization and we demonstrate that any full-supported squarefree monomial ideal is the intersection of finitely many ideals associated to matroid ports. In the binary case, the matroid port decomposition is related to the irredundant primary decomposition of the ideal. Lugansk National Taras Shevchenko University 2026-04-05 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2331 10.12958/adm2331 Algebra and Discrete Mathematics; Vol 41, No 1 (2026) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2331/pdf Copyright (c) 2026 Algebra and Discrete Mathematics |
| spellingShingle | monomial ideal matroid port primary decomposition 13C99 05B99 Martí-Farré, Jaume A note on squarefree monomial ideals and matroid ports |
| title | A note on squarefree monomial ideals and matroid ports |
| title_full | A note on squarefree monomial ideals and matroid ports |
| title_fullStr | A note on squarefree monomial ideals and matroid ports |
| title_full_unstemmed | A note on squarefree monomial ideals and matroid ports |
| title_short | A note on squarefree monomial ideals and matroid ports |
| title_sort | note on squarefree monomial ideals and matroid ports |
| topic | monomial ideal matroid port primary decomposition 13C99 05B99 |
| topic_facet | monomial ideal matroid port primary decomposition 13C99 05B99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2331 |
| work_keys_str_mv | AT martifarrejaume anoteonsquarefreemonomialidealsandmatroidports AT martifarrejaume noteonsquarefreemonomialidealsandmatroidports |