Some rings of differential operators which are Morita equivalent to the Weyl algebra $A_ 1$
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- by Ian M. Musson PDF
- Proc. Amer. Math. Soc. 98 (1986), 29-30 Request permission
Abstract:
For a certain class of semigroup algebras $k\Lambda$, we show that the ring of all differential operators on $k\Lambda$ is Morita equivalent to the first Weyl algebra ${A_1}$.References
- David Eisenbud and J. C. Robson, Modules over Dedekind prime rings, J. Algebra 16 (1970), 67–85. MR 289559, DOI 10.1016/0021-8693(70)90041-4
- R. Hart, Differential operators on affine algebras, J. London Math. Soc. (2) 28 (1983), no. 3, 470–476. MR 724716, DOI 10.1112/jlms/s2-28.3.470
- George S. Rinehart, Note on the global dimension of a certain ring, Proc. Amer. Math. Soc. 13 (1962), 341–346. MR 137747, DOI 10.1090/S0002-9939-1962-0137747-7
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 29-30
- MSC: Primary 16A19; Secondary 13N05
- DOI: https://doi.org/10.1090/S0002-9939-1986-0848868-1
- MathSciNet review: 848868