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"In this article we use techniques from algebraic geometry and homological algebra, together with ideas from string theory to construct a class of 3-dimensional Calabi-Yau algebras. The Calabi-Yau property appears throughout geometry and string theory and is increasingly being s…
1. Preliminaries -- 2. Basic general constructions of groups and rings -- 3. Valuation rings -- 4. Homological dimensions of rings and modules -- 5. Goldie and Krull dimensions of rings and modules -- 6. Rings and finiteness conditions -- 7. Modules with change property and chan…
