Squarefree Monomial Ideals that Fail the Persistence Property and Non-increasing Depth
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2015/01/16
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Journal
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Indian UGC (journal)
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Refrences22
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Citations8
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Huy Tài Hà
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Mengyao Sun
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| On the associated primes and the depth of the second power of squarefree monomial ideals | Journal of Pure and Applied Algebra |
| 10 | 2014 |
| Monomial ideals whose depth function has any given number of strict local maxima | Arkiv för Matematik |
| 11 | 2014 |
| Squarefree monomial ideals with constant depth function | Journal of Pure and Applied Algebra |
| 10 | 2013 |
| The stable set of associated prime ideals of a polymatroidal ideal | Journal of Algebraic Combinatorics |
| 45 | 2013 |
| Associated primes of powers of edge ideals | Collectanea Mathematica |
| 46 | 2012 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 7 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 3 |
The category
Science: Mathematics 7
is the most frequently represented among the references in this article. It primarily includes studies from Journal of Pure and Applied Algebra and Journal of Algebra. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Decreasing behavior of the depth functions of edge ideals | Journal of Algebraic Combinatorics |
| 2023 | |
Depth functions of powers of homogeneous ideals | Proceedings of the American Mathematical Society |
| 3 | 2021 |
Tensor-multinomial sums of ideals: Primary decompositions and persistence of associated primes | Proceedings of the American Mathematical Society |
| 4 | 2019 |
Associated primes of powers of edge ideals and ear decompositions of graphs | Transactions of the American Mathematical Society |
| 6 | 2019 |
A family of monomial ideals with the persistence property | Journal of Algebra and Its Applications |
| 2019 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 8 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 3 |
The category
Science: Mathematics 8
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Depth and regularity of powers of sums of ideals and was published in 2015. The most recent citation comes from a 2023 study titled Decreasing behavior of the depth functions of edge ideals. This article reached its peak citation in 2019, with 3 citations. It has been cited in 6 different journals. Among related journals, the Journal of Algebraic Combinatorics cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.