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Algebraic Geometry over Groups I. Algebraic Sets and Ideal Theory

โœ Scribed by Gilbert Baumslag; Alexei Myasnikov; Vladimir Remeslennikov

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
343 KB
Volume
219
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

The object of this paper, which is the first in a series of three, is to lay the foundations of the theory of ideals and algebraic sets over groups. แฎŠ 1999 Aca- demic Press CONTENTS 1. Introduction. 1.1. Some general comments. 1.2. The category of G-groups. 1.3. Notions from commutative algebra. 1.4. Separation and discrimination. 1.5. Ideals. 1.6. The affine geometry of G-groups. 1.7. Ideals of algebraic sets. 1.8. The Zariski topology of equationally Noetherian groups. 1.9. Decomposition theorems. 1.10. The Nullstellensatz. 1.11. Connections with representation theory. 1.12. Related work.

๐Ÿ“œ SIMILAR VOLUMES

Splitting Comodules over Hopf Algebras a
Splitting Comodules over Hopf Algebras and Application to Representation Theory of Quantum Groups of Type A0|0
โœ Phรนng Hรด Hai ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 156 KB

In this work we study some properties of comodules over Hopf algebras possessing integrals (co-Frobenius Hopf algebras). In particular we give a necessary and sufficient condition for a simple comodule to be injective. We apply the result obtained to the classification of representations of quantum