Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

On the finiteness of Gröbner bases computation in quotients of the free algebra

Nordbeck, Patrik LU (2001) In Applicable Algebra in Engineering, Communication and Computing 11(3). p.157-180
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
non-commutative algebras, Grobner bases, Dickson's lemma, Noetherianity, syzygies, POLYNOMIAL-RINGS
in
Applicable Algebra in Engineering, Communication and Computing
volume
11
issue
3
pages
157 - 180
publisher
Springer
external identifiers
  • scopus:0035070396
ISSN
1432-0622
DOI
10.1007/s002000000045
language
English
LU publication?
yes
id
8baf3599-93f1-4097-b903-2cba6608ea0e (old id 1245204)
alternative location
http://www.springerlink.com/content/mlwe4gqth788yd6h/fulltext.pdf
date added to LUP
2016-04-01 11:55:43
date last changed
2022-01-26 20:21:37
@article{8baf3599-93f1-4097-b903-2cba6608ea0e,
  abstract     = {{We investigate, for quotients of the non-commutative polynomial<br/><br>
 ring, a property that implies finiteness of Gröbner bases<br/><br>
 computation, and examine its connection with Noetherianity.<br/><br>
 We propose a Gröbner bases theory for our factor algebras, of particular interest for <br/><br>
 one-sided ideals, and show a few<br/><br>
 applications, e.g. how to compute (one-sided) syzygy modules.}},
  author       = {{Nordbeck, Patrik}},
  issn         = {{1432-0622}},
  keywords     = {{non-commutative algebras; Grobner bases; Dickson's lemma; Noetherianity; syzygies; POLYNOMIAL-RINGS}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{157--180}},
  publisher    = {{Springer}},
  series       = {{Applicable Algebra in Engineering, Communication and Computing}},
  title        = {{On the finiteness of Gröbner bases computation in quotients of the free algebra}},
  url          = {{http://dx.doi.org/10.1007/s002000000045}},
  doi          = {{10.1007/s002000000045}},
  volume       = {{11}},
  year         = {{2001}},
}