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Laurent Series Rings and Related Rings

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Author(s): Askar Tuganbaev
Publisher: De Gruyter
Year: 2020

Language: English
City: Berlin/Boston

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