Homological Dimension in Local Rings
Article Properties
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DOI (url)
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Publication Date1957/07/01
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Indian UGC (journal)
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Citations21
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Maurice Auslander
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David A. Buchsbaum
Cite
Auslander, Maurice, and David A. Buchsbaum. “Homological Dimension in Local Rings”. Transactions of the American Mathematical Society, vol. 85, no. 2, 1957, p. 390, https://doi.org/10.2307/1992937.
Auslander, M., & Buchsbaum, D. A. (1957). Homological Dimension in Local Rings. Transactions of the American Mathematical Society, 85(2), 390. https://doi.org/10.2307/1992937
Auslander, Maurice, and David A. Buchsbaum. “Homological Dimension in Local Rings”. Transactions of the American Mathematical Society 85, no. 2 (1957): 390. https://doi.org/10.2307/1992937.
Auslander M, Buchsbaum DA. Homological Dimension in Local Rings. Transactions of the American Mathematical Society. 1957;85(2):390.
Journal Category
Science
Mathematics
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Purity and quasi-split torsors over Prüfer bases | Journal de l’École polytechnique — Mathématiques |
| 2024 | |
| AUSLANDER’S THEOREM AND N-ISOLATED SINGULARITIES | Journal of Commutative Algebra | 2023 | ||
Reduction techniques for the finitistic dimension | Transactions of the American Mathematical Society |
| 3 | 2021 |
| Criteria for vanishing of Tor over complete intersections | Pacific Journal of Mathematics |
| 2 | 2015 |
| Intersection multiplicity, canonical element conjecture and the syzygy problem | Michigan Mathematical Journal |
| 5 | 2008 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 20 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 4 |
The category
Science: Mathematics 20
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Homological dimension in noetherian rings. II and was published in 1958. The most recent citation comes from a 2024 study titled Purity and quasi-split torsors over Prüfer bases. This article reached its peak citation in 1962, with 4 citations. It has been cited in 9 different journals, 11% of which are open access. Among related journals, the Transactions of the American Mathematical Society cited this research the most, with 9 citations. The chart below illustrates the annual citation trends for this article.