Author | Bruyn, L. le. author |
---|---|
Title | Graded Orders [electronic resource] / by L. le Bruyn, M. Van den Bergh, F. Van Oystaeyen |
Imprint | Boston, MA : Birkhรคuser Boston, 1988 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-3944-4 |
Descript | VI, 208 p. online resource |
I. Commutative Arithmetical Graded Rings -- I.1. Graded Krull Domains -- I.2. Valuations and the structure of Gr-Dedekind Rings -- II. Graded Rings and Orders -- II.1. Graded Rings over Goldie Rings -- II.2. Divisorially Graded Rings and Generalized Rees Rings -- II.3. Graded Rings Satisfying Polynomial Identities -- II.4. Orders and Graded Orders -- II.5. Some General Techniques -- III. Arithmetically Graded Rings over Orders -- III.1. Orders Graded by Torsion Free Abelian Groups -- III.2. Orders Graded by Finite Groups -- III.3. Generalized Crossed Product Azumaya Algebras -- III.4. Extensions of Tame Orders and Related Sequences -- IV. Regular Orders -- IV.1. Moderated Gorenstein and Regular Orders -- IV.2. Orders of Finite Representation Type -- IV.3. Regularizable Domains -- IV.4. Smooth Tame Orders -- IV.5. Weak Brauer-Severi Schemes -- V. Two Dimensional Tame and Maximal Orders of Finite Representation Type -- V.1. Introduction -- V.2. Rational Double Points Associated to Two-dimensional Tame Orders of Finite Representation Type -- V.3. Skew Group Rings and Projective Representations Associated to Two-dimensional Tame Orders of Finite Representation Type -- V.4. Classification of Two-dimensional Maximal Orders of Finite Representation Type -- V.5. Appendix: Recent Work of I. Reiten and the Second Author -- References