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Infinite Length Modules
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Infinite Length Modules. Some Examples as Introduction
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Chapter 2
Modules with Strange Decomposition Properties
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Chapter 3
Failure of the Krull-Schmidt Theorem for Artinian Modules and Serial Modules
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Chapter 4
Artinian Modules Over a Matrix Ring
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Chapter 5
Some Combinatorial Principles for Solving Algebraic Problems
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Chapter 6
Dimension Theory of Noetherian Rings
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Chapter 7
Krull, Gelfand-Kirillov, Filter, Faithful and Schur Dimensions
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Chapter 8
Cohen — Macaulay Modules and Approximations
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Chapter 9
The Generic Representation Theory of Finite Fields: A Survey of Basic Structure
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Chapter 10
On Artinian Objects in the Category of Functors Between % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWefv3ySLgznf % gDOjdaryqr1ngBPrginfgDObcv39gaiuaacqWFfcVrdaWgaaWcbaGa % aGOmaaqabaaaaa!42BF! $${{\Bbb F}_2}$$ -Vector Spaces
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Chapter 11
Unstable Modules Over the Steenrod Algebra, Functors, and the Cohomology of Spaces
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Chapter 12
Infinite Dimensional Modules for Finite Groups
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Chapter 13
Bousfield Localization for Representation Theorists
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Chapter 14
The Thick Subcategory Generated by the Trivial Module
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Chapter 15
Birational Classification of Moduli Spaces
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Chapter 16
Tame Algebras and Degenerations of Modules
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Chapter 17
On Some Tame and Discrete Families of Modules
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Chapter 18
Purity, Algebraic Compactness, Direct Sum Decompositions, and Representation Type
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Chapter 19
Topological and Geometric Aspects of the Ziegler Spectrum
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Chapter 20
Finite Versus Infinite Dimensional Representations — A New Definition of Tameness
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Chapter 21
Invariance of Tameness under Stable Equivalence: Krause’s Theorem
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Chapter 22
The Krull-Gabriel Dimension of an Algebra — Open Problems and Conjectures
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Chapter 23
Homological Differences between Finite and Infinite Dimensional Representations of Algebras
Overall attention for this book and its chapters
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Mentioned by
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institution with syllabi
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Book overview
1. Infinite Length Modules. Some Examples as Introduction
2. Modules with Strange Decomposition Properties
3. Failure of the Krull-Schmidt Theorem for Artinian Modules and Serial Modules
4. Artinian Modules Over a Matrix Ring
5. Some Combinatorial Principles for Solving Algebraic Problems
6. Dimension Theory of Noetherian Rings
7. Krull, Gelfand-Kirillov, Filter, Faithful and Schur Dimensions
8. Cohen — Macaulay Modules and Approximations
9. The Generic Representation Theory of Finite Fields: A Survey of Basic Structure
10. On Artinian Objects in the Category of Functors Between % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWefv3ySLgznf % gDOjdaryqr1ngBPrginfgDObcv39gaiuaacqWFfcVrdaWgaaWcbaGa % aGOmaaqabaaaaa!42BF! $${{\Bbb F}_2}$$ -Vector Spaces
11. Unstable Modules Over the Steenrod Algebra, Functors, and the Cohomology of Spaces
12. Infinite Dimensional Modules for Finite Groups
13. Bousfield Localization for Representation Theorists
14. The Thick Subcategory Generated by the Trivial Module
15. Birational Classification of Moduli Spaces
16. Tame Algebras and Degenerations of Modules
17. On Some Tame and Discrete Families of Modules
18. Purity, Algebraic Compactness, Direct Sum Decompositions, and Representation Type
19. Topological and Geometric Aspects of the Ziegler Spectrum
20. Finite Versus Infinite Dimensional Representations — A New Definition of Tameness
21. Invariance of Tameness under Stable Equivalence: Krause’s Theorem
22. The Krull-Gabriel Dimension of an Algebra — Open Problems and Conjectures
23. Homological Differences between Finite and Infinite Dimensional Representations of Algebras
Summary
Syllabi
Wikipedia
This data is correct as of December 2015 - for more up to date information, please visit
https://opensyllabus.org/
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syllabus from an institution on Open Syllabus Project.
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University of California-Irvine
1
Unknown