Some presentations of the real number field
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2012/03/01
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Journal
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Indian UGC (journal)
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Refrences7
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Citations11
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A. S. Morozov
Journal Category
Science
Mathematics
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| M. V. Korovina, “Generalized computability of functions on real numbers,” Vych. Sist., 133, 38–67 (1990). | 1990 | |||
| 10.1007/978-3-662-11035-5 | 1975 | |||
| 10.1525/9780520348097 | 1951 | |||
| Yu. L. Ershov, “Σ-Definability of algebraic systems,” in Handbook of Recursive Mathematics, Vol. 1, Recursive Model Theory, Stud. Log. Found. Math., 138, Elsevier, Amsterdam (1998), pp. 235–260. | ||||
| Yu. L. Ershov, V. G. Puzarenko, and A. I. Stukachev, “HF-Computability,” in Computability in Context. Computation and Logic in the Real World, S. B. Cooper and A. Sorbi (eds.), World Scientific, London (2011), pp. 173–248. |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
On Σ-presentations of the additive group of the real numbers | Mathematics and Theoretical Computer Science | 2024 | ||
| On Σ-Definability Over Hereditarily Finite and List Superstructures | Journal of Mathematical Sciences | 2020 | ||
| Σ-Preorderings in $$ \mathbb{H}\mathbbm{F} $$(ℝ) | Algebra and Logic |
| 2019 | |
| On Mutual Definability of Operations on Fields | Siberian Mathematical Journal |
| 2019 | |
| Nonpresentability of Some Structures of Analysis in Hereditarily Finite Superstructures | Algebra and Logic |
| 3 | 2018 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 9 |
The category
Science: Mathematics 9
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Σ-Presentations of the Ordering on the Reals and was published in 2014. The most recent citation comes from a 2024 study titled On Σ-presentations of the additive group of the real numbers. This article reached its peak citation in 2014, with 4 citations. It has been cited in 5 different journals. Among related journals, the Algebra and Logic cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.