Cohen-Macaulay representations Graham J. Leuschke, Roger Wiegand

By:

Leuschke, Graham J

Contributor(s):

Wiegand, Roger, 1943

Series: Mathematical surveys and monographsPublication details: Providence, R.I American Mathematical Society c2012Description: xvii, 367 p ill 26 cmISBN:

9780821875810 (alk. paper)
0821875817 (alk. paper)

Subject(s):

Cohen-Macaulay modules
Representations of rings (Algebra)
Commutative algebra -- Theory of modules and ideals -- Cohen-Macaulay modules
Associative rings and algebras -- Representation theory of rings and algebras -- Cohen-Macaulay modules
Commutative algebra -- Ring extensions and related topics -- EÃŒÂtale and flat extensions; Henselization; Artin approximation
Commutative algebra -- Theory of modules and ideals -- Structure, classification theorems
Commutative algebra -- Theory of modules and ideals -- Module categories
Commutative algebra -- Local rings and semilocal rings -- Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
Associative rings and algebras -- Representation theory of rings and algebras -- Representations of Artinian rings
Associative rings and algebras -- Representation theory of rings and algebras -- Representation type (finite, tame, wild, etc.)
Associative rings and algebras -- Representation theory of rings and algebras -- Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers

DDC classification:

512/.44

Other classification:

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

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Item type	Current library	Call number	Status	Date due	Barcode
Carti	IMAR	II 37272 (Browse shelf(Opens below))	Available		0032864

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