Laurent Series Rings and Related Rings / / Askar Tuganbaev.
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.
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2020] ©2020 |
| Year of Publication: | 2020 |
| Language: | English |
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| Physical Description: | 1 online resource (XIV, 136 p.) |
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Tuganbaev, Askar, author. aut http://id.loc.gov/vocabulary/relators/aut Laurent Series Rings and Related Rings / Askar Tuganbaev. Berlin ; Boston : De Gruyter, [2020] ©2020 1 online resource (XIV, 136 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 27. Jan 2023) Rings (Algebra) Laurent-Reihe. MATHEMATICS / Mathematical Analysis. bisacsh Laurent series. Title is part of eBook package: De Gruyter DG Ebook Package English 2020 9783110696288 Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 9783110696271 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English 9783110704716 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 9783110704518 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English 9783110704846 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 9783110704662 ZDB-23-DMA EPUB 9783110702309 print 9783110702163 https://doi.org/10.1515/9783110702248 https://www.degruyter.com/isbn/9783110702248 Cover https://www.degruyter.com/document/cover/isbn/9783110702248/original |
| language |
English |
| format |
eBook |
| author |
Tuganbaev, Askar, Tuganbaev, Askar, |
| spellingShingle |
Tuganbaev, Askar, Tuganbaev, Askar, Laurent Series Rings and Related Rings / 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 |
| author_facet |
Tuganbaev, Askar, Tuganbaev, Askar, |
| author_variant |
a t at a t at |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Tuganbaev, Askar, |
| title |
Laurent Series Rings and Related Rings / |
| title_full |
Laurent Series Rings and Related Rings / Askar Tuganbaev. |
| title_fullStr |
Laurent Series Rings and Related Rings / Askar Tuganbaev. |
| title_full_unstemmed |
Laurent Series Rings and Related Rings / Askar Tuganbaev. |
| title_auth |
Laurent Series Rings and Related Rings / |
| title_alt |
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 |
| title_new |
Laurent Series Rings and Related Rings / |
| title_sort |
laurent series rings and related rings / |
| publisher |
De Gruyter, |
| publishDate |
2020 |
| physical |
1 online resource (XIV, 136 p.) Issued also in print. |
| contents |
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 |
| isbn |
9783110702248 9783110696288 9783110696271 9783110704716 9783110704518 9783110704846 9783110704662 9783110702309 9783110702163 |
| callnumber-first |
M - Music |
| callnumber-label |
MLCM 2021/44917 (Q) |
| callnumber-sort |
MLCM 42021 544917 Q |
| url |
https://doi.org/10.1515/9783110702248 https://www.degruyter.com/isbn/9783110702248 https://www.degruyter.com/document/cover/isbn/9783110702248/original |
| illustrated |
Not Illustrated |
| doi_str_mv |
10.1515/9783110702248 |
| oclc_num |
1198929282 |
| work_keys_str_mv |
AT tuganbaevaskar laurentseriesringsandrelatedrings |
| status_str |
n |
| ids_txt_mv |
(DE-B1597)549612 (OCoLC)1198929282 |
| carrierType_str_mv |
cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Ebook Package English 2020 Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 |
| is_hierarchy_title |
Laurent Series Rings and Related Rings / |
| container_title |
Title is part of eBook package: De Gruyter DG Ebook Package English 2020 |
| _version_ |
1806144535018864640 |
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