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Cohen-Macaulay representations / Graham J. Leuschke, Roger Wiegand.

By: Leuschke, Graham J, 1973-.
Contributor(s): Wiegand, Roger, 1943-.
Material type: TextTextSeries: Mathematical surveys and monographs: no. 181.Publisher: Providence, R.I. : American Mathematical Society, c2012Description: xvii, 367 p : USD 96.00 ill. ; 26 cm.ISBN: 9780821875810 (alk. paper).Subject(s): Cohen-Macaulay modules | Representations of rings (Algebra)DDC classification: 512/.44 Other classification: 13C14 | 16G50 | 13B40 | 13C05 | 13C60 | 13H10 | 16G10 | 16G60 | 16G70
Contents:
Chapter 1. The Krull-Remak-Schmidt theorem -- Chapter 2. Semigroups of modules -- Chapter 3. Dimension zero -- Chapter 5. Invariant theory -- Chapter 6. Kleinian singularities and finite CM type -- Chapter 7. Isolated singularities and dimension two -- Chapter 8. The double branched cover -- Chapter 9. Hypersurfaces with finite CM type -- Chapter. 10. Ascent and descent -- Chapter 11. Auslander-Buchweitz theory -- Chapter 12. Totally reflexive modules -- Chapter 13. Auslander-Reiten theory -- Chapter 14. Countable Cohen-Macaulay type -- Chapter 15. The Brauer-Thrall conjectures -- Chapter 16. Finite CM type in higher dimensions -- Chapter 17. Bounded CM type -- Appendix A. -- Basics and background -- Appendix B. -- Ramification theory.
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks
512.4 LEU (Browse shelf) Available 8573
Book Chennai Mathematical Institute
General Stacks
512.4 LEU (Browse shelf) Available 8424
Total holds: 0

Includes bibliographical references and index.

Chapter 1. The Krull-Remak-Schmidt theorem -- Chapter 2. Semigroups of modules -- Chapter 3. Dimension zero -- Chapter 5. Invariant theory -- Chapter 6. Kleinian singularities and finite CM type -- Chapter 7. Isolated singularities and dimension two -- Chapter 8. The double branched cover -- Chapter 9. Hypersurfaces with finite CM type -- Chapter. 10. Ascent and descent -- Chapter 11. Auslander-Buchweitz theory -- Chapter 12. Totally reflexive modules -- Chapter 13. Auslander-Reiten theory -- Chapter 14. Countable Cohen-Macaulay type -- Chapter 15. The Brauer-Thrall conjectures -- Chapter 16. Finite CM type in higher dimensions -- Chapter 17. Bounded CM type -- Appendix A. -- Basics and background -- Appendix B. -- Ramification theory.