Garside Structures on Monoids with Quadratic Square-Free Relations
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2010/07/29
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Indian UGC (journal)
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Refrences34
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Citations12
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Tatiana Gateva-Ivanova
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| 10.1016/S0012-9593(02)01090-X | 2002 | |||
| Matched pairs approach to set theoretic solutions of the Yang–Baxter equation | Journal of Algebra |
| 46 | 2008 |
| Set-theoretic solutions of the Yang–Baxter equation, graphs and computations | Journal of Symbolic Computation |
| 17 | 2007 |
| A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation | Advances in Mathematics |
| 152 | 2005 |
A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation | Journal of Mathematical Physics |
| 73 | 2004 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 14 |
| Science: Physics | 2 |
The category
Science: Mathematics 14
is the most frequently represented among the references in this article. It primarily includes studies from Journal of Algebra and Advances in Mathematics. 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 |
|---|---|---|---|---|
| A note on Garside monoids and $${\mathscr {M}}$$-braces | Semigroup Forum |
| 2023 | |
Segre products and Segre morphisms in a class of Yang–Baxter algebras | Letters in Mathematical Physics |
| 2 | 2023 |
| On some Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation | Communications in Algebra |
| 2023 | |
The Yang–Baxter equation and Thompson’s group F | International Journal of Algebra and Computation |
| 2023 | |
| The matched product of set-theoretical solutions of the Yang-Baxter equation | Journal of Pure and Applied Algebra |
| 10 | 2020 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 12 |
| Science: Physics | 2 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 1 |
The category
Science: Mathematics 12
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Multipermutation Solutions of the Yang–Baxter Equation and was published in 2011. The most recent citation comes from a 2023 study titled A note on Garside monoids and $${\mathscr {M}}$$-braces. This article reached its peak citation in 2023, with 4 citations. It has been cited in 8 different journals. Among related journals, the Advances in Mathematics cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.