Skip to main content
SpringerLink
Log in

On Graded Selfduality

  • ORIGINAL ARTICLES
  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

In this paper, we discuss the connection between rigid graded selfduality over some noncommutative graded ring and the selfduality over its initial subring.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. W. M. Xue, Rings with Morita duality, Lecture Notes in Mathematics, Vol 1523, Berlin, New York: Springer- Verlag, 1992

  2. C. Menini, A. D. Rio, Morita duality and graded rings, Comm. in Algebra, 1991, 19:1765–1794

    MATH  MathSciNet  Google Scholar 

  3. S. G. Zhang, On polynomial rings over a ring with a selfduality, Acta Math. Sinica, 1997, 13:571–576

    Article  MATH  MathSciNet  Google Scholar 

  4. S. G. Zhang, Selfduality and strongly graded rings, J. of Algebra, 1997, 187:163–168

    Article  MATH  Google Scholar 

  5. C. Năstăsecscu, Some Constructions over graded rings: applications, J. Algebra, 1989, 120:119–138

    Article  MathSciNet  Google Scholar 

  6. C. Menini, C. , Gr-simple modules and gr-Jacobson radical, Bull. Math. Soc. Math., Roumanie 1990, 34:25–36, 125–133

    Google Scholar 

  7. C. Menini, Finitely graded rings, Morita duality and self-injectivity, Comm. in Algebra, 1987, 15:1779–1797

    MATH  MathSciNet  Google Scholar 

  8. F. W. Anderson, K. R. Fuller, Rings and categories of modules, New York, Heiderberg, Berlin: Springer- Verlag, 1974

  9. C. Năstăsecscu, F. V. Oystaeyen, Graded Ring Theory. North-Holland, Math Library, 1982, Vol 28, North- Holland, Amsterdam

  10. A. D. Rio, Graded rings and equivalences of categories, Comm. in Algebra, 1991, 19:997–1012

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Fujian Normal University, Fuzhou 350007, P. R. China

    Sheng Gui Zhang

Authors
  1. Sheng Gui Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sheng Gui Zhang.

Additional information

Project supported by FPNSFC

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, S.G. On Graded Selfduality. Acta Math Sinica 17, 113–118 (2001). https://doi.org/10.1007/s101140000096

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s101140000096

Keywords

MR (1991) Subject Classification

Search

Navigation