Gelfand-Kirillov dimensions of a tensor product
✍ Scribed by J. Krempa; J. Okniński
- Publisher
- Springer-Verlag
- Year
- 1987
- Tongue
- French
- Weight
- 467 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
It is shown that for certain classes of semigroup algebras \(K[S]\), including right noetherian algebras, the Gelfand-Kirillov dimension is finite whenever it is finite on all cancellative subsemigroups of \(S\). Moreover, the dimension of the algebra modulo the prime radical is then an integer. A d
We prove that any multi-filtered algebra with semi-commutative associated graded algebra can be endowed with a locally finite filtration keeping up the semi-commutativity of the associated graded algebra. As consequences, we obtain that Gelfand-Kirillov dimension is exact for finitely generated modu