Skip to main content
SpringerLink
Log in

On the Finiteness of Gröbner Bases Computation in Quotients of the Free Algebra

  • Published:
Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

We investigate, for quotients of the non-commutative polynomial ring, a property that implies finiteness of Gröbner bases computation, and examine its connection with Noetherianity. We propose a Gröbner bases theory for our factor algebras, of particular interest for one-sided ideals, and show a few applications, e.g. how to compute (one-sided) syzygy modules.

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

Author information

Authors and Affiliations

  1. Lund University, Centre for Mathematical Sciences, Box 118, 221 00 Lund, Sweden (e-mail: nordbeck@maths.lth.se), , , , , , SE

    Patrik Nordbeck

Authors
  1. Patrik Nordbeck
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: September 29, 1999; revised version: October 25, 2000

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nordbeck, P. On the Finiteness of Gröbner Bases Computation in Quotients of the Free Algebra. AAECC 11, 157–180 (2001). https://doi.org/10.1007/s002000000045

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002000000045

Search

Navigation