The Auslander bijections: how morphisms are determined by modules
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2013/07/03
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Indian UGC (journal)
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Refrences42
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Citations17
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Claus Michael Ringel
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| 10.1090/S0002-9947-96-01586-3 | 1996 | |||
| Hammocks | Proceedings of the London Mathematical Society |
| 16 | 1987 |
| 10.1007/BF01086180 | Functional Analysis and Its Applications |
| 1980 | |
| 10.4171/CMH/65 | Commentarii Mathematici Helvetici |
| 2006 | |
| The Gabriel–Roiter measure | Bulletin des Sciences Mathématiques |
| 27 | 2005 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Morphisms determined by objects under Galois G-covering theory | Journal of Algebra |
| 2023 | |
| Higher Auslander-Reiten sequences via morphisms determined by objects | Communications in Algebra |
| 2023 | |
Auslander–Reiten–Serre duality for n-exangulated categories | Journal of Algebra and Its Applications |
| 2022 | |
| A bijection triangle in extriangulated categories | Journal of Algebra |
| 3 | 2021 |
| Auslander’s defect formula and a commutative triangle in an exact category | Frontiers of Mathematics in China |
| 2020 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 17 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 4 |
The category
Science: Mathematics 17
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Morphisms determined by objects: The case of modules over artin algebras and was published in 2012. The most recent citation comes from a 2023 study titled Higher Auslander-Reiten sequences via morphisms determined by objects. This article reached its peak citation in 2019, with 5 citations. It has been cited in 10 different journals. Among related journals, the Journal of Algebra cited this research the most, with 7 citations. The chart below illustrates the annual citation trends for this article.