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Representational Repleteness of Differential Operator Rings

✍ Scribed by Gordan MacLaren Low


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
276 KB
Volume
186
Category
Article
ISSN
0021-8693

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✦ Synopsis


In this paper we use results of Goodearl, describing the link graph of a differential operator ring over a commutative Noetherian ‫-ޑ‬algebra, to derive sufficient conditions for a prime ideal in such a ring to be representationally replete.


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Hochschild (Co)Homology of Differential
✍ Jorge A Guccione; Juan J Guccione πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 164 KB

We show that the Hochschild homology of a differential operator k-algebra E = A# f U g is the homology of a deformation of the Chevalley-Eilenberg complex of with coefficients in M βŠ— A \* b \* . Moreover, when A is smooth and k is a characteristic zero field, we obtain a type of Hochschild-Kostant-R