Laurent Series Rings and Related Rings / / Askar Tuganbaev.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2020
• VerfasserIn: Tuganbaev, Askar,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©2020
• Year of Publication: 2020
• Language: English
• Physical Description: 1 online resource (XIV, 136 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110702248; 9783110696288; 9783110696271; 9783110704716; 9783110704518; 9783110704846; 9783110704662
• DOI: 10.1515/9783110702248
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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.