Skip to main content
Log in

On the multiplicity of zeros of polynomials over arbitrary finite dimensional K-algebras

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. Auslander, M., and Buchsbaum, D.A. Codimension and Multiplicity. Annals of Mathematics, Vol.68,No.3, November 1958, 625–657

    Google Scholar 

  2. Boda, E., and Vogel, W.On Systems of Parameters, Local Intersection Multiplicity and Bezout's Theorem, Proceedings of the American Mathematical Society, Vol.78, No.1, January 1980, 1–7

    Google Scholar 

  3. Hartshorne, R. Algebraic Geometry, Springer Verlag. Graduate Texts in Mathematics 52, 1977

  4. Northcott, D.G. Lessons on Ring, Modules, and Multiplicities, Cambridge University Press, 1968

  5. Rohrl, H. On the Zeros of Polynomials over Arbitrary Finite Dimensional Algebras. Manuscripta Mathematica 25, 1978, 359–390

    Google Scholar 

  6. Rohrl, H. The Algebra of Polynomial Functions with Coefficients in a Non-Associative Algebra II. Seminarberichte Fernuniversitat Hagen Nr. 8, 1981 65–150

    Google Scholar 

  7. Shafarevitch, I.R. Basic Algebraic Geometry. Springer Verlag,1974

  8. Zariski, O., Samuel, P. Commutative Algebra, 2 Vols. Princeton, New Jersey, Van Nostrand and Company. 1958/60

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper is based on part of the author's Ph.D. thesis written under the direction of Helmut Rohrl whom the author would like to thank for his help and encouragement

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pritchard, F.L. On the multiplicity of zeros of polynomials over arbitrary finite dimensional K-algebras. Manuscripta Math 49, 267–292 (1985). https://doi.org/10.1007/BF01215249

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01215249

Keywords

Navigation