Term-ordering free involutive bases
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2015/05/01
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Journal
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Indian UGC (journal)
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Refrences64
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Citations15
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Michela Ceria
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Teo Mora
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Margherita Roggero
Journal Categories
Science
Mathematics
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Technology
Engineering (General)
Civil engineering (General)
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Flat families by strongly stable ideals and a generalization of Gröbner bases | Journal of Symbolic Computation |
| 19 | 2011 |
| A Note on Polynomial Reduction | Journal of Symbolic Computation |
| 13 | 1993 |
| Minimal resolutions of some monomial ideals | Journal of Algebra |
| 1990 | |
| Les modules de formes algébriques et la théorie générale des systèmes différentiels | Annales Scientifiques de l’École Normale Supérieure |
| 14 | 1924 |
| Characteristic-free bounds for the Castelnuovo–Mumford regularity | 2014 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases | Experimental Mathematics |
| 2024 | |
| Hilbert schemes with two Borel-fixed points | Journal of Algebra |
| 2 | 2023 |
| Applications of Bar Code to Involutive Divisions and a “Greedy” Algorithm for Complete Sets | Mathematics in Computer Science |
| 2 | 2022 |
The close relation between border and Pommaret marked bases | Collectanea Mathematica |
| 1 | 2021 |
| Combinatorial decompositions for monomial ideals | Journal of Symbolic Computation |
| 4 | 2021 |
Citations Analysis
The category
Science: Mathematics 13
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Quasi-stable ideals and Borel-fixed ideals with a given Hilbert polynomial and was published in 2015. The most recent citation comes from a 2024 study titled Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases. This article reached its peak citation in 2019, with 5 citations. It has been cited in 8 different journals. Among related journals, the Journal of Symbolic Computation cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.