Homological properties of some Weyl algebra extensions

Eva Kristina Ekström

Compositio Mathematica (1990)

  • Volume: 75, Issue: 2, page 231-246
  • ISSN: 0010-437X

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Ekström, Eva Kristina. "Homological properties of some Weyl algebra extensions." Compositio Mathematica 75.2 (1990): 231-246. <http://eudml.org/doc/90036>.

@article{Ekström1990,
author = {Ekström, Eva Kristina},
journal = {Compositio Mathematica},
keywords = {Weyl algebra; Auslander-Gorenstein K-algebra; graded ring; grade numbers; finitely generated graded R-module; homogeneous components; projective dimensions; rings of differential operators},
language = {eng},
number = {2},
pages = {231-246},
publisher = {Kluwer Academic Publishers},
title = {Homological properties of some Weyl algebra extensions},
url = {http://eudml.org/doc/90036},
volume = {75},
year = {1990},
}

TY - JOUR
AU - Ekström, Eva Kristina
TI - Homological properties of some Weyl algebra extensions
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 75
IS - 2
SP - 231
EP - 246
LA - eng
KW - Weyl algebra; Auslander-Gorenstein K-algebra; graded ring; grade numbers; finitely generated graded R-module; homogeneous components; projective dimensions; rings of differential operators
UR - http://eudml.org/doc/90036
ER -

References

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  2. [Bj: 2] Björk, J.-E., The Auslander condition on noetherian rings. Sem Dubreil-Malliavin. Lecture Notes in Math.1404 (1987-88) 137-173. Zbl0696.16006MR1035224
  3. [Bj: 3] Björk, J.-E., Rings of Differential Operators. North-Holland Math. Libr. Series Vol. 21 (1979). Zbl0499.13009MR549189
  4. [Ek] Ekström, E.K., The Auslander condition on graded and filtered Noetherian rings. Sem. Dubreil-Malliavin. Springer, Lecture Notes in Math.1404 (1987-88) 220-245. Zbl0691.16020MR1035227
  5. [G-R] Gabriel, P. and Rentschler, R., Sur la dimension des anneaux et ensembles ordonné. C.R. Acad. Sci. Ser.A265 (1967) 712-715. Zbl0155.36201MR224644
  6. [G-H-L] Goodearl, K.R., Hodge, T.J. and Lenagan, T.H., Krull and Global dimensions of Weyl algebras over Division rings. J. of Algebra91 (1984) 334-359. Zbl0558.16002MR769578
  7. [H] Hart, R., A note on tensor product of algebras. J. of Algebra21 (1972) 422-427. Zbl0234.16011MR313320
  8. [Lau] Laumon, G., D-modules filtrés. Soc. Math. France Asterisque.130 (1985) 334-359. MR804050
  9. [L-S] Laurent, Y. and Schapira, P., Images inverses des modules differentiels. Compositio Math.61 (1987) 229-251. Zbl0617.32014MR882976
  10. [M-R] McConnell, J.C. and Robson, J.C., Noncommutative Noetherian rings. Wiley series in pure and applied Mathematics (1987). Zbl0644.16008MR934572
  11. [Na-Oy] Nastasescu, C. and Van Oystaeyen, F., Graded ring theory. North-Holland. Math. Libr. series. (1982). Zbl0494.16001MR676974
  12. [Rot] Rotman, J.J., An introduction to homological algebra. Academic Press, New York (1982). Zbl0441.18018MR538169
  13. [Sch] Schapira, P., Microdifferential systems in the complex domain. Grundlehren der Math. 269Springer Verlag (1985). Zbl0554.32022MR774228
  14. [Za] Zaks, A., Injective dimension of semi-primary rings. J. of Algebra13 (1969) 73-86. Zbl0216.07001MR244325

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