| Title: | Skew Laurent series ring over a Dedekind domain |
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| Authors: | ID Vitas, Daniel (Author) |
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| Files: |  PDF - Presentation file, download (822,97 KB)
MD5: C8360D6E716417F17243EE388CA453AC
 URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0021869325004454
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | We show that the formal skew Laurent series ring $R = D(( x; \sigma ))$ over a commutative Dedekind domain ▫$D$▫ with an automorphism $\sigma$ is a noncommutative Dedekind domain. If $\sigma$ acts trivially on the ideal class group of $D$, then $K_0(R)$, the Grothendieck group of $R$, is isomorphic to $K_0(D)$. Furthermore, we determine the Krull dimension, the global dimension, the general linear rank, and the stable rank of $R$. |
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| Keywords: | skew Laurent series rings, noncommutative Dedekind domains, ideal class groups |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2026 |
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| Year of publishing: | 2026 |
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| Number of pages: | str. 313-336 |
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| Numbering: | Vol. 685 |
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| PID: | 20.500.12556/DiRROS-23449  |
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| UDC: | 512 |
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| ISSN on article: | 0021-8693 |
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| DOI: | 10.1016/j.jalgebra.2025.07.022 |
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| COBISS.SI-ID: | 247386883 |
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| Note: |
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| Publication date in DiRROS: | 02.09.2025 |
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| Views: | 341 |
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| Downloads: | 162 |
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| Metadata: |    |
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