Advanced search
Publication Cover
Communications in Algebra Volume 38, 2010 - Issue 3
Submit an article Journal homepage
68
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

The Spectrum of the Graded Ring of Differential Operators of a Scored Semigroup Algebra

Mutsumi Saito Department of Mathematics, Hokkaido University, Sapporo, JapanCorrespondence[email protected]
Pages 829-847 | Received 28 Apr 2008, Published online: 11 Mar 2010

REFERENCES

  • Björk , J.-E. ( 1979 ). Rings of Differential Operators . Amsterdam : North-Holland .
  • Borel , A. , Ehlers , F. , Grivel , P.-P. , Haefliger , A. , Kaup , B. , Malgrange , B. ( 1987 ). Algebraic D-Modules . New York : Academic Press .
  • Coutinho , S. C. ( 1995 ). A Primer of Algebraic D-Modules . London Math. Soc. Student Texts 33 , Cambridge : Cambridge Univ. Press .
  • Fulton , W. ( 1993 ). Introduction to Toric Varieties . Annals of Math. Studies 131 . Princeton : Princeton Univ. Press .
  • Goodearl , K. R. , Warfield , R. B. ( 1989 ). An Introduction to Noncommutative Noetherian Rings . London Math. Soc. Student Texts 16 , Cambridge : Cambridge Univ. Press .
  • Hotta , R. , Takeuchi , K. , Tanisaki , T. ( 2008 ). D-Modules, Perverse sheaves, and Representation Theory . Basel : Birkhäuser .
  • Ishida , M.-N. ( 1987 ). The local cohomology groups of an affine semigroup ring . In: Algebraic Geometry and Commutative Algebra in Honor of Masayoshi NAGATA , Vol. 1 . Tokyo : Kinokuniya , pp. 141 – 153 .
  • Kashiwara , M. ( 2003 ). D-Modules and Microlocal Calculus . Providence : American Mathematical Society .
  • Lenagan , T. H. ( 2000 ). Dimension theory of Noetherian rings . In: Krause , H. , Ringel , C. ed. Infinite Length Modules . Trends in Math. , Basel : Birkhäuser , pp. 129 – 148 .
  • McConnel , J. C. , Robson , J. C. ( 1987 ). Noncommutative Noetherian Rings . Chichester : John Wiley & Sons .
  • Musson , I. M. ( 1987 ). Rings of differential operators on invariants of tori . Trans. Amer. Math. Soc. 303 : 805 – 827 .
  • Musson , I. M. , Van den Bergh , M. (1998). Invariants under tori of rings of differential operators and related topics. Mem. Amer. Math. Soc. 650.
  • Saito , M. ( 2007 ). Primitive ideals of the ring of differential operators on an affine toric variety . Tohoku Math. J. 59 : 119 – 144 .
  • Saito , M. ( 2010 ). Critical modules of the ring of differential operators of affine semigroup algebras . Comm. in Alg. 38 : 618 – 631 .
  • Saito , M. , Traves , W. N. ( 2001 ). Differential algebras on semigroup algebras . AMS Contemporary Math. 286 : 207 – 226 .
  • Saito , M. , Traves , W. N. ( 2004 ). Finite generations of rings of differential operators of semigroup algebras . J. of Algebra 278 : 76 – 103 .
  • Communicated by T. Lenagan.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.