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210316 ||| eng |
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|a 978-3-11-070224-8
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| 020 |
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|a 978-3-11-070230-9
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4 |
|a QA247
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| 100 |
1 |
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|a Tuganbaev, Askar
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| 245 |
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|a Laurent series rings and related rings
|h Elektronische Ressource
|c Askar Tuganbaev
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| 260 |
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|a Berlin ; Boston
|b De Gruyter
|c 2020
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| 300 |
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|a XIV, 136 Seiten
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| 505 |
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|a Frontmatter -- Contents -- Introduction -- 1 Preliminary properties of A((x, φ)) and M((x, φ)) -- 2 Noetherian rings A((x, φ)) -- 3 Serial and Bezout rings A((x, φ)) -- 4 Prime and semiprime skew Laurent series rings -- 5 Regular and biregular Laurent series rings -- 6 Equivalent definitions of Laurent rings -- 7 Generalized Laurent rings -- 8 Properties of Laurent rings -- 9 Laurent rings: examples, relation -- 10 Noetherian and Artinian Laurent rings -- 11 Simple and semisimple Laurent rings -- 12 Uniserial and serial Laurent rings -- 13 Semilocal Laurent rings -- 14 Filtrations and (generalized) Malcev–Neumann rings -- 15 Properties of generalized Malcev–Neumann rings -- 16 Properties and examples of Malcev–Neumann rings -- 17 Laurent series in two variables -- Bibliography -- Notation -- Index
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| 653 |
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|a Mathematics - Mathematical Analysis
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b GRUYMPG
|a DeGruyter MPG Collection
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| 028 |
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|a 10.1515/9783110702248
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| 776 |
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|z 978-3-11-070216-3
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| 856 |
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|u https://www.degruyter.com/document/doi/10.1515/9783110702248
|x Verlag
|3 Volltext
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| 082 |
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|a 512.74
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| 520 |
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|a In this book, ring-theoretical properties of skew Laurent series rings A((x; φ)) over a ring A, where A is an associative ring with non-zero identity element are described. In addition, we consider Laurent rings and Malcev-Neumann rings, which are proper extensions of skew Laurent series rings. * In-depth study on Laurent ring series. * Written by well-known expert in the field.
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