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Results tagged with dimension-theory
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user 345
Hausdorff dimension, box dimension, packing dimension and similar concepts.
11
votes
Different definitions of the dimension of an algebra
In non-commutative algebra Krull dimension has been generalised by Gabriel & Rentschler. A decent account of it can be found in Chapter 6 of McConnell and Robson's book on non-commutative Noetherian r …
- 3,545
7
votes
Different definitions of the dimension of an algebra
Often the most useful dimension in non-commutative algebra is the length of the minimal injective resolution of the ring as a module over itself. In many important cases this is the same as the global …
- 3,545