Leuschke, Graham J <br/><br/>
Cohen-Macaulay representations 
Graham J. Leuschke, Roger Wiegand 
 - Providence, R.I  American Mathematical Society  c2012 
 - xvii, 367 p  ill  26 cm 
 - Mathematical surveys and monographs  v. 181 .
 - Mathematical surveys and monographs .
<br/><br/> Contine bibliogr. si index 
<br/><br/>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 
<br/><br/><label>ISBN: </label>9780821875810 (alk. paper) 0821875817 (alk. paper) 
<br/><br/><label>LCCN: </label>2012002344 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Cohen-Macaulay modules<br/>Representations of rings (Algebra)<br/>Commutative algebra -- Theory of modules and ideals -- Cohen-Macaulay modules<br/>Associative rings and algebras -- Representation theory of rings and algebras -- Cohen-Macaulay modules<br/>Commutative algebra -- Ring extensions and related topics -- Étale and flat extensions; Henselization; Artin approximation<br/>Commutative algebra -- Theory of modules and ideals -- Structure, classification theorems<br/>Commutative algebra -- Theory of modules and ideals -- Module categories<br/>Commutative algebra -- Local rings and semilocal rings -- Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)<br/>Associative rings and algebras -- Representation theory of rings and algebras -- Representations of Artinian rings<br/>Associative rings and algebras -- Representation theory of rings and algebras -- Representation type (finite, tame, wild, etc.)<br/>Associative rings and algebras -- Representation theory of rings and algebras -- Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
<br/><br/><label>Dewey Class. No.: </label>512/.44