Title Statements
- Full title :Algebraic Structures as seen on the Weyl Algebra.
Edition Statements
- Publication Date:2013.
Publication Statements
- Publisher(s):Editorial Universidad de Almería
- Place of Publication:Almería
- Language:eng
- Publication Date:2013.
The Physical Object
- Description:1 online resource (165 pages)
Edition Identifiers
- ISBN:9788415487692, 841548769X
- oclc:ocn956648872
Table of Contents
Algebraic structures as seen on the Weyl Algebra; Página Legal; Contents; Chapter 1 Algebras given by Generators and Relations; 1.1 The Free Algebra; 1.2 The Weyl Algebras; 1.3 Exercises and Examples; 1.4 Wrong or Right; Chapter 2 Lie Algebras and Derivations; 2.1 Derivations and their Invariants; 2.2 Lie Algebras and their Enveloping Algebras; 2.3 Some Structure Theory for Lie Algebras; 2.4 Semisimple Lie Algebras; 2.5 Right or wrong?; Chapter 3 Filtered and Graded Rings; 3.1 Group Graded Rings; 3.2 Filtered Rings and Modules; 3.3 The Weyl Algebra and Some Examples; 3.4 Right or wrong.
Chapter 4 Finiteness Conditions4.1 Noetherian Conditions; 4.2 Application to Modules over the Weyl Algebra; 4.3 Semisimple Rings and Modules; Chapter 5 Localization at Ore Sets; 5.1. Proposition (Ore); 5.2. Examples; 5.3. Proposition; 5.5. Lemma; 5.6. Lemma; 5.7. Theorem.; 5.8. Lemma; 5.9. Proposition; 5.10. Corollary; 5.11. Remark; 5.12. Corollary; Chapter 6 Gelfand-Kirillov Dimension and Filtered Rings; 6.1 Gelfand-Kirillov Dimension; 6.2 Filtered Rings and GKdim; Chapter 7 Global Dimension of Filtered Rings; 7.1 Projective Resolutions and Homological Algebra; 7.2 Projective Dimension.
7.3 Proj…
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