Memoirs of the American Mathematical Society 2001; 140 pp; softcover Volume: 154 ISBN10: 0821827545 ISBN13: 9780821827543 List Price: US$57 Individual Members: US$34.20 Institutional Members: US$45.60 Order Code: MEMO/154/734
 Readership Graduate students and research mathematicians interested in associative rings and algebras, and noncommutative geometry. Table of Contents  Introduction
 Preliminaries on category theory
 Noncommutative geometry
 Pseudocompact rings
 CohenMacaulay curves embedded in quasischemes
 Blowing up a point on a commutative divisor
 Derived categories
 The derived category of a noncommutative blowup
 Some results on graded algebras and their sections
 Quantum plane geometry
 Blowing up \(n\) points in an elliptic quantum plane
 Noncummutative cubic surfaces
 Appendix A. Twocategories
 Appendix B. Summary of notations
 Appendix C. Index of terminology
 Bibliography
